Sökning: "algebraisk geometri"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden algebraisk geometri.

  1. 1. Geometric Decompositions and Networks - Approximation Bounds and Algorithms

    Författare :Joachim Gudmundsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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

  2. 2. Geometric Models of Similarity

    Författare :Mikael Johannesson; Kognitionsvetenskap; []
    Nyckelord :HUMANIORA; HUMANITIES; 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

  3. 3. 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

  4. 4. Complexes and Diffrerential Graded Modules

    Författare :Dmitri Apassov; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebraic geometry; field theory; Number Theory; fiber of a local homomorphism; DG dualizing module; homological dimensions; differential graded rings; almost finite module; Cohen-Macaulay rings; local homomorphism; Gorenstein rings; annihilator; complex of modules; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : The main topic of the thesis is the generalization of some traditional module-theoretic homological applications to complexes of modules and to differential graded modules over differential graded rings. We introduce three possible generalizations of the classical notion of annihilator of an R-module. LÄS MER

  5. 5. Some Resolvent Estimates in Harmonic Analysis

    Författare :Anders Dahlner; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; field theory; Number Theory; algebra; algebraic geometry; Talteori; group theory; Tauberian theorem. Quantitative inversion. Cesaro operator. Bishops property beta.; algebraisk geometri; fältteori; gruppteori;

    Sammanfattning : This thesis contains three papers about three different estimates of resolvents in harmonic analysis. These papers are: Paper 1. ``A Wiener tauberian theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc'' Paper 2. ``Uniform spectral radius and compact Gelfand transform'' Paper 3. LÄS MER