Search for dissertations about: "knot theory"
Showing result 1 - 5 of 13 swedish dissertations containing the words knot theory.
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1. Invariants of knot diagrams and diagrammatic knot invariants
Abstract : Two knot diagrams describe isotopic knots if and only if they can be connected by a sequence of planar isotopies and Reidemeister moves (cusp-, self-tangency-, and triple point moves). In this dissertation classes of knot diagrams, Reidemeister moves, and relations between sequences of Reidemeister moves are investigated, in a manner inspired by V. READ MORE
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2. Modeling the effects of knots in Structural Timber
Abstract : The main purpose of the pursued research is to increase knowledge of the effects of knots in structural timber so that characteristics of weaker timber may be determined and applied to improve current grading techniques. In the process, a three-dimensional fiber paradigm was established, which describes variations of local principle material axes in timber containing knots. READ MORE
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3. Field Theories and Vortices with Nontrivial Geometry
Abstract : This thesis investigates aspects of field theories and soliton solutions with nontrivial topology. In particular we explore the following effective models: a limited sector of the scalar Electroweak theory called extended Abelian Higgs model, and a classical mechanics model derived from the low energy SU(2) Yang-Mills theory. READ MORE
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4. Bayesian Modeling of Conditional Densities
Abstract : This thesis develops models and associated Bayesian inference methods for flexible univariate and multivariate conditional density estimation. The models are flexible in the sense that they can capture widely differing shapes of the data. The estimation methods are specifically designed to achieve flexibility while still avoiding overfitting. READ MORE
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5. Topological excitations in field theory models of superconductivity and magnetism
Abstract : Topological excitations are subjects of intensive studies in physics and mathematics. In solid-state and soft matter physics, topological excitations can largely determine the thermodynamic and electromagnetic properties of materials, while in high energy physics they were theorized as particles. READ MORE