'The control of waves using periodic structures is crucial for modern optical, electromagnetic and acoustic devices such as diffraction gratings, filters, photonic crystals, solar cells, sensors, and absorbers. We present a high-order accurate...
Computer generated 3-D images are proving useful in a wide variety of applications including data visualization, computer animation, virtual reality, telepresence and terrain generation. High-end applications in these fields require images to be...
In this thesis, we consider several problems relating to cyclic subgroups of the group [mathematical equation]. Each element of [mathematical equation] has a unique representative in one of the two intervals [mathematical equation] and...
This thesis centers around a generalization of the classical discrete Fourier transform. We first present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite...
While plant-plant interactions define community patterns in alpine tundra around the world, topography and elevation and the resulting physical changes that occur when moving down-slope play a greater role in community formation and maintenance in...
Information resources management -- Mathematical models. ; Database management -- Methodology. ; Change. ; World Wide Web.
Many modern information management tasks consist of an observer that must maintain current knowledge of a collection of changing information. The goal of this observer is to maintain acceptably accurate state estimates given limited observation...
Magnetic resonance imaging. ; Nuclear magnetic resonance.
Diffusion-weighted magnetic resonance imaging (MRI) provides unique contrast reflecting the translational motion of water in its microscopic environment. This imaging modality has been shown to highlight infarcted regions within minutes after an...
Free electron lasers -- Experiments. ; Resonators -- Experiments.
A Smith-Purcell Free Electron Laser test-facility has been developed. The structure is used to conduct detailed explorations that novel resonator designs will have on tunability, start current and other performance criteria. Emphasis is on sources...
Interaction with aromatic Ï€ systems has become recognized as an important mode of stabilization of carbocation intermediates in biological reactions. To gain insight into such carbocation-Ï€ interactions, we have undertaken a study of...
Structural control (Engineering). ; Smart structures -- Vibration. ; Strains and stresses -- Computer simulation. ; Automatic control -- Sensitivity. ; Feedback control systems.
This thesis investigates vibration-based damage identification problems in smart structures. Vibration-based damage metrics suffer from small sensitivity of modal properties to damage, thus making it difficult to detect, locate, and determine the...
Given graded C *-algebras A and B , we define the notion of an admissible pair ([straight phi], D ) for A and B . Associated to an admissible pair ([straight phi], D ) is an equivalence class of asymptotic morphisms from A to B . Under certain...
Large scale systems -- Mathematical models. Digital computer simulation. Parallel processing (Electronic computers). Computer algorithms.
Modeling real-world large-scale systems is inherently challenging due to their size and complexity. Detailed simulation of large-scale models requires tremendous amounts of computing power and memory space. Parallel discrete-event simulation...
The unifying theme of this work has been the use of forward genetics to identify three new genes - each thought to play an important yet unrecognized role in either the core circadian oscillator of Neurospora crassa , or in its main physiological...
Strong evidence exists showing that stellar evolution models are unable to accurately predict the fundamental properties of low-mass stars. Observations of low-mass stars in detached eclipsing binaries (DEBs) indicate that stellar models...
Computer security has come a long way since the days of the first Internet worm. With the spreading and commercialization of the Internet, the stakes have gotten higher. Viruses existed and spread before most computers were online, but as global...