Browsing by Author "Hawthorn, Ian"
Coauthors for Ian Hawthorn
Supervised by Ian Hawthorn
Showing up to 5 theses  most recently added to Research Commons first.

The structure and average discrepancies of lattice rules for numerical integration
(The University of Waikato, 2000)Lattice rules are equalweight quadrature rules which are used in the approximation of multidimensional integrands over the sdimensional unit cube [0,1]ˢ. One of the problems encountered in the study of such rules is the ... 
A New Way to Look at Homomorphisms
(University of Waikato, 2013)This thesis is about arbitrary functions between groups. We look at two way to measure how close an arbitrary function is to being a homomorphism. We first look at an action of the group on functions in which homomorphisms ... 
Investigating Gravity and Electromagnetism on a 10 Dimensional Manifold with Local Symmetry so(2,3)
(University of Waikato, 2013)The Hawthorn model [1] is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of spacetime than the Poincare Lie algebra, with the former contracting to the latter in the ... 
Maxwell's Equations on a 10Dimensional Manifold with local Symmetry so(2,3)
(University of Waikato, 2012)The Hawthorn model is built upon the idea that the Lie algebra so(2, 3) is a more natural description of the local structure of spacetime than the Poincar´e Lie algebra. This model uses a 10dimensional spacetime referred ...