A generalized Fourier inversion theorem

In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a generalized version of the Fourier inversion Theorem for strictly-unconditionally integrable Fourier transforms. Our results generalize and improve those previously obtained by Ruy Exel in the case of Abelian groups.Comment: 15 pages; some typos correcte

Association Of Objective Measures Of Sleep And Inflammation Markers On Police Officers: A Cross-Sectional Analysis

Police officers are a unique occupational group due to the fact that they have more health problems than many other occupations. These health problems could be a result of elevated inflammation markers caused by poor sleep. Sleep influences circadian rhythms, which thereby influences the function of the immune system. The immune system is responsible for the body’s inflammatory response using pro-inflammatory cytokines such as IL-6, CRP, Fibrinogen, and TNF-a. These cytokines can become elevated if disruption of the sleep cycle occurs. Elevated levels of inflammatory markers are associated with increased risk of cardiovascular disease. Police officers also work shifts and have a large amount of occupational stress that may contribute to increased levels of pro-inflammatory markers as well. This analysis aimed to examine the influence that objective and subjective measures of sleep have on inflammatory markers among police officers within the Buffalo Cardio-Metabolic Occupational Police Stress (BCOPS) cohort crosssectionally. Body mass index (BMI), shift work, and stress measures were examined as potential effect modifiers. Subjective measures of sleep were obtained by the Pittsburgh Sleep Quality Index (PSQI) and objective measures of sleep were obtained through actigraph data. Police officers wore an Actiwatch for 15 consecutive days, where data was made into different sleep parameters. Sleep latency, quality, duration, efficiency and daytime dysfunction were used from the PSQI, and wake after sleep onset, sleep onset latency, sleep duration, and efficiency were used from the actigraph measures. The inflammation markers were collected from blood samples after a 12 hour fast. Each inflammatory marker was measured using different assays at the University of Vermont. General linear models were used to compare adjusted means of categorical sleep measures and beta coefficients for continuous sleep measures for each inflammation marker. Analyses were stratified by normal (18.5-24.9 BMI), overweight (25-29.9 BMI), and obese (≥30 BMI), and then by day and evening/night shiftwork. Logistic regression was performed on a dichotomous version of CRP, using a clinial cut point, and odds ratios were obtained for highrisk CRP. Statistically significant associations were seen between various sleep measures and inflammation markers. It is seen that as sleep worsens, there is an elevation in pro-inflammatory markers

Research Notes : Inheritance of a male-sterile mutant from irradiated Essex soybeans

In 1976, a plant was selected from the M3 generation of some \u27Essex\u27 soybeans that had been irradiated with neutrons and grown at the Eastern Virginia Research Station, Warsaw. The plant had a green stem and reduced seed set. The progeny row grown the following year had all normal appearing plants

The ultraviolet extinction in M-supergiant circumstellar envelopes

Using International Ultraviolet (IUS) archival low-dispersion spectra, ultraviolet spectral extinctions were derived for the circumstellar envelopes of two M supergiants: HD 60414 and HD 213310. The observed stellar systems belong to a class of widely-separated spectroscopic binaries that are called VV Cephei stars. The total extinction was calculated by dividing the reddened fluxes with unreddened comparison fluxes of similar stars (g B2.5 for HD 213310 and a normalized s+B3 for HD 60414) from the reference atlas. After substracting the interstellar extinctions, which were estimated from the E(B-V) reddening of nearby stars, the resultant circumstellar extinctions were normalized at about 3.5 inverse microns. Not only is the 2175 A extinction bump absent in the circumstellar extinctions, but the far-ultraviolet extinction rise is also absent. The rather flat, ultraviolet extinction curves were interpreted as signatures of a population of noncarbonaceous, oxygen-rich grains with diameters larger than the longest observed wavelength

Research notes: A second gene for resistance to peanut mottle virus in soybean

Soybean (Glycine max [L.] Merr.) was first reported as a natural host of peanut mottle virus (PMV) in 1972 by research workers in Georgia (Kuhn et al., 1972). PMV on soybean has since been reported in Virginia, South Carolina, Australia, and East Africa (Demski and Kuhn, 1977). Boerma and Kuhn (1976) reported resistance to PMV in soybeans to be conditioned by a completely dominant allele at a single locus. The objective of this study was to determine if there are other genes and/or alleles that might condition resistance to PMV

Research Notes : Observations of polyembryony and polyploidy in ms1 and ms2 male-sterile soybean populations

Several reports of polyembryony and polyploidy in the progeny of ms1 male-sterile soybeans have been made. Kenworthy et al. (1973) found 4% of 3485 seeds contained twin seedlings. Three triploids and one haploid were found among the twins

Investigation of Warm-Mix Asphalt for Iowa Roadways, Phase II

Phase II of this study further evaluated the performance of plant-produced warm-mix asphalt (WMA) mixes by conducting additional mixture performance tests at a broader range of temperatures, adding additional pavements to the study, comparing virgin and recovered binder properties, performing pavement condition surveys, and comparing survey data with the Mechanistic Empirical Pavement Design Guide (MEPDG) forecast for pavement damage over 20 years of service life. Further objectives detailing curing behavior, quality assurance testing, and hybrid technologies were as follows: * Compare the predicted and observed field performance of existing WMA trials produced in the previous Phase I study to that of hot-mix asphalt (HMA) control sections to determine if Phase I conclusions are translating to the field; * Identify any curing effect (and timing of the effect) of WMA mixtures and binders in the field; * Determine how the field-compacted mixture properties and recovered binder properties of WMA compare to those of HMA over time for technologies common to Iowa; * Identify the protocols for WMA sample preparation for volumetric and performance testing that best simulate field conditions. The findings of this study indicate that WMA additives do show statistical differences in mixture properties in some of the mixes tested. These differences will not always be statistically different from mixture to mixture. Multiple factors, such as WMA additive type, amount of recycled asphalt material, construction conditions, and mixture variability all play a role in determining the extent of which WMA and HMA mixes differ. Other significant findings of this study include effects of curing, aging in recovered binders from HMA and WMA cores, and the influence of recycled asphalt shingles (RAS) used with WMA. These findings will be of interest to owner agencies and contractors utilizing WMA technologies

The prospects for mathematical logic in the twenty-first century

The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed independently.Comment: Association for Symbolic Logi

Research Notes: Reaction to peanut mottle virus in plant introductions of Maturity Groups 00 through IV

The results of screening the soybean plant introductions in Maturity Groups II, III, and IV have been reported by Shipe et al. (1979) . The results of evaluating the earlier maturity groups are reported here. Plant introductions that became available after 1976 have not been screened

Reflective Crack Mitigation Guide for Flexible Pavements Final Report

Reflective cracks form in pavements when hot-mix asphalt (HMA) overlays are placed over jointed and/or severely cracked rigid and flexible pavements. In the first part of the research, survival analysis was conducted to identify the most appropriate rehabilitation method for composite pavements and to evaluate the influence of different factors on reflective crack development. Four rehabilitation methods, including mill and fill, overlay, heater scarification (SCR), and rubblization, were analyzed using three performance indicators: reflective cracking, international roughness index (IRI), and pavement condition index (PCI). It was found that rubblization can significantly retard reflective cracking development compared to the other three methods. No significant difference for PCI was seen among the four rehabilitation methods. Heater scarification showed the lowest survival probability for both reflective cracking and IRI, while an overlay resulted in the poorest overall pavement condition based on PCI. In addition, traffic level was found not to be a significant factor for reflective cracking development. An increase in overlay thickness can significantly delay the propagation of reflective cracking for all four treatments. Soil types in rubblization pavement sites were assessed, and no close relationship was found between rubblized pavement performance and subgrade soil condition. In the second part of the research, the study objective was to evaluate the modulus and performance of four reflective cracking treatments: full rubblization, modified rubblization, crack and seat, and rock interlayer. A total of 16 pavement sites were tested by the surface wave method (SWM), and in the first four sites both falling weight deflectometer (FWD) and SWM were conducted for a preliminary analysis. The SWM gave close concrete layer moduli compared to the FWD moduli on a conventional composite pavement. However, the SWM provided higher moduli for the rubblized concrete layer. After the preliminary analysis, another 12 pavement sites were tested by the SWM. The results showed that the crack and seat method provided the highest moduli, followed by the modified rubblization method. The full rubblization and the rock interlayer methods gave similar, but lower, moduli. Pavement performance surveys were also conducted during the field study. In general, none of the pavement sites had rutting problems. The conventional composite pavement site had the largest amount of reflective cracking. A moderate amount of reflective cracking was observed for the two pavement sites with full rubblization. Pavements with the rock interlayer and modified rubblization treatments had much less reflective cracking. It is recommended that use of the modified rubblization and rock interlayer treatments for reflective cracking mitigation are best