Sökning: "algebraisk topologi"

Hittade 5 avhandlingar innehållade orden algebraisk topologi.

  1. 1. Contributions to certain problems in algebraic topology

    Författare :Juan M. Alonso; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraisk topologi;

    Sammanfattning : We consider two problems. The first one is to determine when a fibration is also a (homotopy) cofibration. We use a classic result of T. Ganea to give a complete algebraic solution. LÄS MER

  3. 2. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Författare :Joachim Gudmundsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computer technology; Systems engineering; kontroll; system; Delaunay triangulation; Computational geometry; TSP with neighborhoods; geometric spanners; covering polygons; Computer science; numerical analysis; systems; control; numerisk analys; Datalogi; algebraisk topologi; algebraic topology; Geometry; Data- och systemvetenskap; Geometri;

    Sammanfattning : In this thesis we focus on four problems in computational geometry: In the first four chapters we consider the problem of covering an arbitrary polygon with simpler polygons, i.e., rectangles. LÄS MER

  4. 3. Geometric Models of Similarity

    Författare :Mikael Johannesson; Kognitionsvetenskap; []
    Nyckelord :HUMANIORA; HUMANITIES; symmetry; similarity; separable dimensions; prominence; multidimensional scaling; Minkowski metric; machine learning; integral dimensions; familiarity; geometric models; distance metric; asymmetry; conceptual spaces; Computer science; numerical analysis; systems; control; Datalogi; numerisk analys; system; kontroll; Geometry; algebraic topology; Geometri; algebraisk topologi;

    Sammanfattning : This dissertation examines and discusses some phenomena related to the geometric representation of similarity. It takes its inspiration from the existing body of empirical research within the fields of perceptual and cognitive psychology, but also connects to certain areas of machine learning. LÄS MER

  5. 4. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations

    Författare :Hjalmar Rosengren; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; higher order Hankel form; Wigner symbol; quadratic algebra; Clebsch-Gordan coefficient; quantum group; Lie group; highest weight representation; multivariable orthogonal and biorthogonal polynomials; multivariable hypergeometric and basic hypergeometric functions; algebraisk topologi; Geometry; Geometri; algebraic topology;

    Sammanfattning : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. LÄS MER

  7. 5. Homology and machine learning for materials informatics

    Författare :Bart Olsthoorn; Jens H. Bardarson; Alexander V. Balatsky; O. Anatole von Lilienfeld; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Theoretical Physics; Teoretisk fysik;

    Sammanfattning : Materials informatics is the field of study where materials science is combined with modern data science. This data-driven approach is powered by the growing availability of computational power and storage capability. LÄS MER