Search for dissertations about: "Integral points"

Showing result 1 - 5 of 41 swedish dissertations containing the words Integral points.

  2. 1. Counting solutions to Diophantine equations

    Author : Oscar Marmon; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Integral points; rational points; counting function; exponential sums; Weyl differencing; van der Corput s method; determinant method; sum of k-th powers; counting function;

    Abstract : This thesis presents various results concerning the density of rational and integral points on algebraic varieties. These results are proven with methods from analytic number theory as well as algebraic geometry. READ MORE

  4. 2. Modelling of fracture toughness using peridynamics : A Study of J-integral, essential work and homogenisation

    Author : Christer Stenström; Pär Jonsén; Kjell Eriksson; Ugo Galvanetto; Luleå tekniska universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Peridynamics; J-integral; Essential work of fracture; Nonlocal methods; Meshless; Meshfree; Fracture; Crack tip; Exact analytical; Center cracked tension; Double edge notched tensile; fracture toughness; Peridynamik; Brottmekanik; Sprickspets; Brottseghet; Spänningsintensitet; Hållfasthetslära; Solid Mechanics;

    Abstract : Fracture toughness is one of the most important properties of a material. Being able toaccurately estimate the energy that goes into forming new crack surfaces is essential for the development of new materials, quality assurance, structural monitoring and failure analysis. READ MORE

  5. 3. On the density of solutions to Diophantine equations

    Author : Oscar Marmon; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral points; exponential sums; Weyl differencing; van der Corput s method; van der Corput s method;

    Abstract : .... READ MORE

  6. 4. On Clustering of Random Points in the Plane and in Space

    Author : Marianne Månsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; geometric probability; integral geometry; convex sets; random intersections; mixed volumes; scan statistics; Poisson approximation; Stein-Chen method; convergence of point processes; scan statistics;

    Abstract : If n points are independently and uniformly distributed in a large rectangular parallelepiped, A in Rd, d =2,3, they may possibly aggregate in such a way that they are contained in some translate of a given convex set C in A. If the points are replaced by copies of C, these translated sets may have a non-empty intersection. READ MORE

  7. 5. Homogenization of some partial differential operators and integral functionals

    Author : Peter Wall; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis is devoted to some problems connected to the theory of homogenization of partial differential operators and integral functionals. The thesis consists of an introduction and three different parts, A-C. In the introduction we give an elementary presentation of the basic ideas in the homogenization theory. READ MORE