Partial inner product spaces: Some categorical aspects

We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP spaces of practical interest.Comment: 21 page

Generalised Fermat Hypermaps and Galois Orbits

We consider families of quasiplatonic Riemann surfaces characterised by the fact that -- as in the case of Fermat curves of exponent $n$ -- their underlying regular (Walsh) hypermap is the complete bipartite graph $K_{n,n}$, where $n$ is an odd prime power. We will show that all these surfaces, regarded as algebraic curves, are defined over abelian number fields. We will determine the orbits under the action of the absolute Galois group, their minimal fields of definition, and in some easier cases also their defining equations. The paper relies on group-- and graph--theoretic results by G. A. Jones, R. Nedela and M.\v{S}koviera about regular embeddings of the graphs $K_{n,n}$ [JN\v{S}] and generalises the analogous question for maps treated in [JStW], partly using different methods.Comment: 14 pages, new version with extended introduction, minor corrections and updated reference

The synthesis of monomers with pendent ethynyl group for modified high performance thermoplastics

The objectives of this project were to develop synthetic schemes for the following classes of modified monomers: (1) difunctional triarylethanes with pendent acetylenic groups; and (2) tertiary aspartimides with terminal acetylene groups at the two ends. Our efforts have resulted in the successful development of high yield schemes for the syntheses of several diamino and bisphenolic analogs of difunctional triarylethanes with pendent ethynyl group. A scheme for one new tertiary aspartimide was also established. Multi-gram samples of all prepared new monomers were provided to our technical contact at NASA-LaRC and preliminary polymerization studies were encouraging. Details of the accomplished work within the last four years are described

Simulating full-sky interferometric observations

Aperture array interferometers, such as that proposed for the Square Kilometre Array (SKA), will see the entire sky, hence the standard approach to simulating visibilities will not be applicable since it relies on a tangent plane approximation that is valid only for small fields of view. We derive interferometric formulations in real, spherical harmonic and wavelet space that include contributions over the entire sky and do not rely on any tangent plane approximations. A fast wavelet method is developed to simulate the visibilities observed by an interferometer in the full-sky setting. Computing visibilities using the fast wavelet method adapts to the sparse representation of the primary beam and sky intensity in the wavelet basis. Consequently, the fast wavelet method exhibits superior computational complexity to the real and spherical harmonic space methods and may be performed at substantially lower computational cost, while introducing only negligible error to simulated visibilities. Low-resolution interferometric observations are simulated using all of the methods to compare their performance, demonstrating that the fast wavelet method is approximately three times faster that the other methods for these low-resolution simulations. The computational burden of the real and spherical harmonic space methods renders these techniques computationally infeasible for higher resolution simulations. High-resolution interferometric observations are simulated using the fast wavelet method only, demonstrating and validating the application of this method to realistic simulations. The fast wavelet method is estimated to provide a greater than ten-fold reduction in execution time compared to the other methods for these high-resolution simulations.Comment: 16 pages, 9 figures, replaced to match version accepted by MNRAS (major additions to previous version including new fast wavelet method

Generation Y ; An Exploratory Study of Worker Experiences, Values and Attitudes in the Federal Government

As a result of the unprecedented retirement wave within the federal government, federal agencies are aggressively recruiting young professionals that have been categorized as Generation Y. However, there is currently a lack of systematic research that has been conducted on this new cohort of employees particularly, within the federal government. A lot of the available information that pertains to Generation Y can be classified as pop journalism, as opposed to scholarly research. Furthermore, many federal leaders are utilizing this information along with outdated traditional management assumptions about employee motivation to design and develop their public organizations. This tenuous approach can prove to be very costly and detrimental to the success of public institutions. Therefore, many scholars have purported that a lot of young civil servants leave the federal government due to poor management.In an attempt to alleviate the aforementioned concerns, this dissertation offers information to public leaders about how federal Generation Y employees view their work, so leaders can better understand this cohort of employees. By using an interpretative framework with phenomenological research methods, five Generation Y subjects explained their workplace views, attitudes, and experiences as they pertain to motivation. In addition, five federal supervisors explained their viewpoints and experience with Generation Y within the work setting. There were a total of 10 research participants that worked for eight different federal agencies that are located in the Cleveland, Ohio metropolitan region. Key themes emerged and were discussed based on data gathered from an in-depth analysis of 10 semi-structured interviews. Since this was an exploratory qualitative based dissertation, research questions instead of hypotheses were used to gain a deeper understanding of Generation Y employees. It was concluded that the federal supervisors are aware of Generation Y\u27s needs however, they have been obstinate in effectively respondi