Note on B-splines, wavelet scaling functions, and Gabor frames

Let g be a continuous, compactly supported function on such that the integer translates of g constitute a partition of unity. We show that the Gabor system (g,a,b), with window g and time-shift and frequency-shift parameters a,b>0 has no lower frame bound larger than 0 if b=2,3,... and a>0. In particular, (g,a,b) is not a Gabor frame if g is a continuous, compactly supported wavelet scaling function and if b=2,3,... and a>0. We give an example for our result for the case that g=B/sub 1/, the triangle function supported by [-1,1], by showing pictures of the canonical dual corresponding to (g,a,b) where ab=1/4 and b crosses the lines N=2,3,.     

Linkage analysis under locus heterogeneity: behaviour of the A-test in complex analyses

The admixture test (A-test) is a popular method for the analysis of linkage data when locus heterogeneity is suspected. It can be applied on pairwise linkage data, multipoint data and even for the simultaneous analysis of data from multiple dispersed candidate regions. However, very little is known about the conditions for the use of the method under these divergent circumstances. By performing analytical evaluations, we demonstrate that the A-test is inconsistent if there is a relationship between the phenotype and the probability of being linked. Biased estimates of the recombination fraction (theta) and the proportion of linked families (alpha) may occur if the actual frequency of linked families is not identical among small and large families. We conclude that the A-test should be used with caution if the phenotype and the probability of developing the phenotype at a certain age cannot be shown to be equal for family members of linked and unlinked families. If dissimilarities in family size cannot be ruled out, the extent of bias should be considered and size specific alpha-values should be used in risk calculations.     

Acidogenic fermentation of blended food‐waste in combination with primary sludge for the production of volatile fatty acids

The performance of a laboratory‐scale anaerobic acidogenic fermenter fed with a mixture of blended kitchen food‐waste and primary sludge from a sewage treatment plant was investigated for the production of volatile fatty acids (VFA). The operating variables for acidogenic fermentation were kitchen food‐waste content (10 and 25 wt %), hydraulic retention time (HRT: 1, 3 and 5 days), temperature (ambient: 18 ± 2 °C, and mesophilic: 35 ± 2 °C) and pH (varied from 5.2 to 6.7). The experimental results indicated that effluent VFA concentrations and VFA production rates were higher at ambient temperature than at mesophilic conditions. The net amount of VFA with 10 wt % food‐waste increased up to 920 mg dm^?3 with an increase of HRT, but contrasting results (a decrease of 2610 mg dm^?3) were found due to the conversion of VFA into biogas in the case of 25 wt % food‐waste, which increased significantly at HRT of 3–5 days. In terms of biogas composition (CO₂ and CH₄), the organic matter was converted into CO₂ through the oxidative pathway by facultative species at low temperature while mesophilic temperature and optimum pH (6.3–7.8) played a pivotal role in increasing rate of conversion of VFA into biogas by methanogenesis. Rates of VFA production and their conversion are dependent on the food‐waste content in the mixture. Yet, the higher concentration of food‐waste (25% compared with 10%) did not produce VFA proportionally due to the increased rate of conversion of VFA into gaseous products. The maximum VFA production rate (0.318 g VFA_produced g^?1 VS_fed day^?1) was achieved in the 10 wt % food‐waste at ambient temperature and at a 5‐day HRT. Copyright © 2005 Society of Chemical Industry     

A low emittance cw-electron injector for the ELBE accelerator

For applications in nuclear and radiation physics there is an increasing demand for electron beams with superior brightness in the medium energy range. This work presents the injector design for the superconducting accelerator ELBE [1]. The injector consists of a thermionic rf-gun, working at a frequency of 1.3 GHz in cw-mode. The superconducting section is based on the technology established at TESLA [2], modified for cw operation. The accelerator will deliver a 20 MeV beam with an rms energy spread of 10 keV and an average current of up to 1 mA. The normalised transverse emittance remains 1 π mm mrad. The arrangement and operating parameters of the accelerator components were settled by numerical optimization considering longitudinal beam dynamics. The results led to a nonlinear bunching scheme, which compensates the high longitudinal emittance from the thermionic rf-gun.     

Stress analysis of a cantilevered fixed partial denture with normal and reduced bone support

A two-dimensional finite element model was constructed to analyze the simulated mechanical behavior of a cantilevered fixed partial denture. The variations of the models were made by altering the degree of bone support, the number of splinted abutments, and the length of the pontics. High stress concentrations were observed around the connectors of the fixed prosthesis and the tooth closest to the cantilever. Reduced bone support increased the deflection and stress concentrations. There was reduction in displacement and stress concentration when the teeth were splinted together. To improve the prognosis of the fixed partial denture cantilever, the number of abutments should be increased and the number of pontics decreased.     

A circular reflector interferometer for the far infrared

The construction of a Fourier transform spectrometer to study magnetic resonances in solids is described. The spectrometer operates in the Far Infrared (maximum frequency of 500 cm^?1) and is based on a wavefront dividing interferometer with circular geometry. To illustrate the performance, a water vapour spectrum is given.     

Physical degradation of genomic DNA of soybean flours does not impair relative quantification of its transgenic content

In this paper, four different physical treatments (microwaves, heating by conduction, sonication and pressure autoclaving) were performed to degrade a pure DNA extract, and their influence on GMO quantification was studied. The aim was to check the hypothesis that processing of agrofood products results in a similar degradation rate for both the transgenic target and the specific target. Indeed we could observe that even if the used physical treatments could lead to a significant increase of C _t values for both transgenic and specific targets, the resulting ΔC _t remained stable. So, the main conclusion of the study is that the aforementioned hypothesis seems valid and thus a physical degradation of DNA will not affect the relative quantitation of the GMO content, provided that both the specific and transgenic targets have very similar size. A second important issue of the experiments performed was that DNA is a very robust molecule as it is extremely difficult to reach a mean size below 100 bp. The study also gives evidence of the importance of using small targets.     

Prolonged recovery of desiccated adenoviral serotypes 5, 8, and 19 from plastic and metal surfaces in vitro

BACKGROUND: Prevention of the spread of epidemic keratoconjunctivitis (EKC) at eye care facilities (doctors' offices, clinics, hospitals) has been a major public health goal for ophthalmology for more than 50 years. The authors explored a potentially contributing attribute of the adenovirus serotypes that cause EKC. Specifically, they investigated the capacity of different clinical and laboratory ocular serotypes (AD8, 19, and 5) to survive for extended periods of time in a desiccated state. METHODS: Twenty microliters containing 2000 plaque-forming units of different ATCC laboratory adenoviral ocular serotypes (AD8, 19, and 5) and clinical isolates (AD8 Cray, AD19 Kowalski, and AD5 McEwen) were inoculated onto 7-mm plastic disks and 6-mm aluminum foil disks and were allowed to completely desiccate. At weekly intervals up to 7 weeks, eight desiccated virus-inoculated plastic or metal disks per serotype were added to tissue culture medium, and the amount of recoverable virus was determined by plaque assay on A549 cells. RESULTS: Ocular adenoviral serotypes AD8, 19, and 5 could be recovered up to 49 days from plastic, and 35 to 49 days from metal. Sufficient virus concentrations (> 100 plaque-forming units/disk) to be clinically infectious were recovered up to 28 days. Differences in recovery among serotypes (AD19 > AD5, AD8) were demonstrated, but laboratory and clinical isolates of the same serotype were usually comparable. CONCLUSIONS: Ocular isolates of adenovirus that cause EKC are much harder than previously suspected, and the capacity to survive in a desiccated state may possibly play some role in office-based mini-epidemics of EKC.