Sökning: "homotopy"

Visar resultat 1 - 5 av 8 uppsatser innehållade ordet homotopy.

  1. 1. Development of a 2D Optimal Path Simulation for Ship-to-Shore Cranes : Safe Trajectories within Interchangeable Obstalce Environments

    Master-uppsats, Linköpings universitet/Fordonssystem

    Författare :Rickard Green; [2020]
    Nyckelord :Optimal Path; Control; Control theory; Obstacle; Safe trajectories; LiU; ISY; Reglerteknik;

    Sammanfattning : 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. LÄS MER

  3. 2. Multi-Hypothesis Motion Planning under Uncertainty Using Local Optimization

    Master-uppsats, Linköpings universitet/Reglerteknik

    Författare :Anja Hellander; [2020]
    Nyckelord :Motion planning; Path planning; Local optimization; RRT*; Homotopy; LQG; Belief space planning; Optimal control;

    Sammanfattning : 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. LÄS MER

  4. 3. The classification theorem for closed surfaces

    Kandidat-uppsats, Lunds universitet/Matematik LTH

    Författare :Filip Jonsson Kling; [2019]
    Nyckelord :Topology; algebra; surfaces; fundamental group; simplex; homotopy; homology; Mathematics and Statistics;

    Sammanfattning : 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... LÄS MER

  5. 4. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology

    Master-uppsats, Uppsala universitet/Teoretisk fysik

    Författare :Hans Nguyen; [2018]
    Nyckelord :supersymmetry; SUSY; quantum mechanics; index theorem; path integral; non-linear sigma model; spin complex; Chern-Gauss-Bonnet theorem; Witten index; equivariant cohomology; Weil model; Cartan model;

    Sammanfattning : 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. LÄS MER

  7. 5. Solitons in High Energy Physics

    Kandidat-uppsats, Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Författare :Edvin Olofsson; [2017]
    Nyckelord :sine-Gordon model; solitons; high energy physics; particle physics; Thirring model; vortices; magnetic monopoles; homotopy; Physics and Astronomy;

    Sammanfattning : 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. LÄS MER