For a local field K, we study the affine buildings Ξ n and Δ n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Δ n in Ξ 2 n ....
Experimental and theoretical aspects of macroscopic and mesoscopic elastic instability are investigated in this thesis. For the theoretical investigations we utilize a Lagrangian formulation of nonlinear continuum elasticity theory, the novel...
Mobile agents (Computer software). ; Electronic data processing -- Distributed processing. ; Sequential processing (Computer science) -- Mathematical models.
Mobile agents have received much attention recently as a way to efficiently access distributed resources in a low bandwidth network. Planning allows mobile agents to make the best use of the available resources. This thesis studies several planning...
Plasma instabilities. ; Ionospheric electron density. ; Ionosphere.
As a result of an unstable plasma stratification the nighttime equatorial ionosphere is subject to a variety of plasma instabilities known commonly as equatorial spread-F. In its fully developed form spread-F consists of large wedges of depleted...
Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
Friction severely limits performance in precise positioning systems. This thesis investigates one possible approach to counter friction related performance losses, friction cancellation. In this method a friction observer is used to estimate...
Multimedia systems -- Mathematical models. ; Information storage and retrieval systems. ; Machinery -- Alignment.
This thesis introduces multiple media correlation, a new technology for the automatic alignment of multiple media objects such as text, audio, and video. This research began with the question: what can be learned when multiple multimedia components...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
A mobile agent is an autonomous program that can migrate under its own control from machine to machine in a heterogeneous network. In other words, the program can suspend its execution at an arbitrary point, transport itself to another machine, and...
In an undercooled environment any protuberance or bump on a planar solid/liquid interface that extends into the melt enhances its growth since the surrounding temperature gradient is greater than that about the planar surface. Consequently, the...
This thesis investigates a notion of Turing reducibility introduced by Winkler [8] that is total on all computably enumerable oracles. Groszek and Weber show in [7] that this is a new notion of reducibility and it is not transitive. They give su...
The problem of moving rigid bodies efficiently is of particular interest in robotics because the simplest model of a mobile robot or of a manipulated object is often a rigid body. Path planning, controller design and robot design may all benefit...
Upon activation by binding of insulin, the insulin receptor tyrosine kinase phosphorylates a group of proteins known as the insulin receptor substrates (IRS's). The tyrosine phosphorylated IRS's then act as docking/effector molecules for SH2...
Indole alkaloids -- Synthesis. Ring formation (Chemistry). Radicals (Chemistry).
A novel radical cyclization of 2-bromoindoles was examined, generating a series of hexahydropyrrolo[3,4- b ]indoles in fair yield. This process involved the generation of a variety of indole-3-carboxamides followed by the introduction of bromine at...
Today''s fastest microprocessors, logic chips, and even memory chips employ dynamic logic as the key part to achieving advanced performance. Dynamic logic only retains the correct data state briefly and is far less robust than previous technologies...
Relativity (Physics). ; Anisotropy -- Mathematical models. ; Einstein field equations. ; Newtonian fluids. ; Astrophysics.
We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound spheres. We consider the full general-relativistic and Newtonian treatment of this problem and obtain exact solutions for various forms...