Sökning: "integral points"
Visar resultat 1 - 5 av 43 avhandlingar innehållade orden integral points.
1. Counting solutions to Diophantine equations
Sammanfattning : 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. LÄS MER
2. Modelling of fracture toughness using peridynamics : A Study of J-integral, essential work and homogenisation
Sammanfattning : 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. LÄS MER
3. On the density of solutions to Diophantine equations
Sammanfattning : .... LÄS MER
4. On Clustering of Random Points in the Plane and in Space
Sammanfattning : 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. LÄS MER
5. Homogenization of some partial differential operators and integral functionals
Sammanfattning : 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. LÄS MER