In the past few years there has been a tremendous growth in the usage of digital images. Users can now access millions of photos, a fact that poses the need of having methods that can efficiently and effectively search the visual information of...
Chapter 1: Munchnones and mesoionic heterocycles The reactivity, regioselectivity, and synthetic applications of munchnones (1,3-oxazolium-5-olates) is a common theme which runs through Chapters 2-5. The definition, structure, and reactivity of...
Ultra-high molecular weight polyethylene (UHMWPE) remains the most common bearing material for total joint arthroplasty. Advances in radiation cross-linking and other post-consolidation treatments have led to a rapid differentiation of polyethylene...
This thesis constitutes the first steps in the author's program to investigate the question of when a homotopy of 2-cocycles Ï‰ = {Ï‰[subscript t]}[subscript tâˆŠ[0,1]] on a locally compact Hausdorff groupoid Æ“ induces an isomorphism of the...
We present aligned hierarchies, a novel solution to the dimension reduction problem, representing high-dimensional and noisy sequential data as a low-dimensional object that encodes relevant information. In this thesis, we motivate our presentation...
In Chapter 2 we look at the distribution of permutation statistics in the context of pattern-avoiding permutations. The first part of this chapter deals with a recursively defined bijection of Robertson [37] between 123- and 132-avoiding...
For many scientific applications, the data set cannot entirely fit in main memory. The data must reside out-of-core, i.e., on parallel disks. For many basic data-movement operations such as permuting, if the programmer does not design efficient...
Many alkaloids of biological importance have the 11H-pyrido (4,3,2-mn) acridine ring structure such as cystodytin and amphimedine. It would be desirable to find an effective way to synthesize a wide variety of these compounds using a single...
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...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Earlier in our laboratory, a facile synthesis of the 2- and 3-nitroindoles was realized. These compounds showed promise as powerful intermediates in the synthesis of novel structures and natural products. The reactivity of 2- and 3-nitroindoles...
Nitric oxide -- Analysis. ; Dithiocarbamates. ; Iron compounds. ; Organonitrogen compounds. ; Electron paramagnetic resonance spectroscopy.
Nitric oxide is synthesized by living organisms and plays important roles in circulatory, neurological, and immune function. Nitric oxide can also play pathophysiological roles, depending on the amount of the molecule, the presence of other species...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
Chapter one: Synthesis, resolution and application of P-chirogenic phosphines. This chapter serves as a general introduction, and gives a brief overview of the synthesis, resolution and applications of chiral organophosphorus compounds. In...
An efficient synthetic approach to both 2-acyl-1-(substituted)indoles and 2-nitro-1-(substituted)indoles by reaction of 2-lithio-1-(substituted)indoles with appropriate electrophiles is presented. Inverse quenching of 2-lithioindoles 5 and 208 with...