Sökning: "mathematics topology"

Visar resultat 1 - 5 av 80 avhandlingar innehållade orden mathematics topology.

  1. 1. Minimal models in algebra, combinatorics and topology

    Författare :Alexander Berglund; Torsten Ekedahl; Alexandru Suciu; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . LÄS MER

  3. 2. Digital Geometry, Combinatorics, and Discrete Optimization

    Författare :Shiva Samieinia; Christer Kiselman; Rikard Bøgvad; Rémy Malgouyres; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Digital geometry; Khalimsky topology; Khalimsky plane; Khalimsky-continuous function; digital straight line segments; discrete optimization; discrete convexity; integral convexity; lateral convexity; marginal function; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Sammanfattning : This thesis consists of two parts: digital geometry and discrete optimization. In the first part we study the structure of digital straight line segments. We also study digital curves from a combinatorial point of view. LÄS MER

  4. 3. Topology Optimization of Fatigue-Constrained Structures

    Författare :Henrik Svärd; Krister Svanberg; Pierre Duysinx; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topology optimization; fatigue constraints; stress constraints; density filters; restriction methods; weakest link theory; critical plane criteria; Mathematics; Matematik;

    Sammanfattning : Fatigue, or failure of material due to repeated cyclic loading, is one of the most common causes of mechanical failures. The risk of fatigue in a load carrying component is often lowered by adding material, thereby reducing stresses. LÄS MER

  5. 4. The fW-mean filter framework for topology optimization and analysis of Friedrichs systems

    Författare :Linus Hägg; Martin Berggren; Eddie Wadbro; Björn Engquist; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topology optimization; filters; mathematical morphology; size control; minimum compliance problem; Friedrichs systems; well-posedness; variational formulations; linearized Euler’s equations; Galbrun’s equation; acoustics; Mathematics; matematik;

    Sammanfattning : Part I. Topology optimization is the most general form of design optimization in which the optimal layout of material within a given region of space is to be determined. Filters are essential components of many successful density based topology optimization approaches. LÄS MER

  7. 5. Grothendieck Rings and Motivic Integration

    Författare :Karl Rökaeus; Torsten Ekedahl; Johannes Nicaise; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : This thesis consists of three parts: In Part I we study the Burnside ring of the finite group G. This ring has a natural structure of a lambda-ring. However, a priori the images of the G-set S under the lambda-operations can only be computed recursively. LÄS MER