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Affine group actions on Euclidean space.
(2006)
Upto affine conjugacy, we describe properly discontinuous rank two affine groups of Euclidean space (primarily dimensions two and three) in terms of "coordinates" of generators. In dimension two, a chosen generator is put ...
Geometric evolution equations and p-harmonic theory with applications in differential geometry.
(2006)
In this dissertation, we consider parabolic (e.g. Ricci flow) and elliptic (e.g. p-harmonic equations) partial differential equations on Riemannian manifolds and use them to study geometric and topological problems. More ...
P-harmonic theory on ellipsoids with geometric applications.
(2006)
In the first part of this thesis, we are interested in representing homotopy groups by p-harmonic maps with applications to minimal submanifolds of ellipsoids. In the second part, we discuss Liouville-type theorems for ...
A psychometric analysis of the Statistics Concept Inventory.
(2006)
A clearer picture of student understanding emerges when the item analyses are combined with analyses obtained using IRT methods. In particular, the nominal response model appears to be able to shed light on persistent ...