Stochastic numerical simulations are used to study the statistical properties of supercontinuum spectra generated in photonic crystal fibre with two zero dispersion wavelengths. For picosecond pulse excitation, we examine how the statistical properties of solitons generated on the long wavelength edge of the supercontinuum (“optical rogue waves”) are modified by energy transfer to dispersive wa...

The Ca, Mg, K, and P content of dry barley (Hordeum vulgare) grains and seedlings was investigated using energy dispersive x-ray analysis and neutron activation analysis. Energy dispersive x-ray analysis of protein bodies in aleurone cells showed that these bodies contained very little Ca in relation to P, Mg, and K. Neutron activation analysis also showed that the endosperm contained very litt...

Oil spill constitutes a major source of fresh and seawater pollution as a result of accidental discharge from tankers, marine engines, and underwater pipes. Therefore, the need for cost-effective and environmental friendly sorbent materials for oil spill cleanup cannot be overemphasized. The present work focuses on the preliminary study of empty palm fruit bunch fibre as a promising sorbent mat...

Time-frequency representations, like the spectrogram or the scalogram, are widely used to characterize dispersive waves. The resulting energy distributions, however, suffer from the uncertainty principle, which complicates the allocation of energy to individual propagation modes (especially when the dispersion curves of these modes are close to each other in the time-frequency domain). This res...

Results of inverse gas chromatography adsorption/desorption experiments using selected probes on skimmed milk, whey and demineralised whey powder materials are presented. The dispersive component of surface energy was found to be dominant, indicating a low polarity character. Surface energy profiles of demineralised whey and skimmed milk showed a characteristic steep exponential decrease from a...

background: the purpose of this study was to determine the effect of three chewing gums and paraffi n on the remineralization and the hardness of demineralized enamel. materials and methods: a total of 12 subjects wore intraoral palatal appliances with two demineralized bovine enamel slabs. the study consisted of four experimental periods each lasting 21-days, during which subjects were assigne...

We investigate L1(R2) → L∞(R2) dispersive estimates for the Schrödinger operator H = −∆+V when there are obstructions, resonances or an eigenvalue, at zero energy. In particular, we show that the existence of an s-wave resonance at zero energy does not destroy the t−1 decay rate. We also show that if there is a p-wave resonance or an eigenvalue at zero energy then there is a time dependent oper...

For Schrödinger maps fromR2×R+ to the 2-sphere S2, it is not known if finite energy solutions can form singularities (blow up) in finite time. We consider equivariant solutions with energy near the energy of the two-parameter family of equivariant harmonic maps. We prove that if the topological degree of the map is at least four, blowup does not occur, and global solutions converge (in a disper...

For Schrödinger maps from R ×R+ to the 2-sphere S, it is not known if finite energy solutions can form singularities (“blowup”) in finite time. We consider equivariant solutions with energy near the energy of the two-parameter family of equivariant harmonic maps. We prove that if the topological degree of the map is at least four, blowup does not occur, and global solutions converge (in a dispe...

As part of the Microbeam Analysis Society (MAS) symposium marking 50 years of electron microprobe analysis, this article reviews the important advances made over the decades to the automation of data collection and computerized analysis of data from the electron microprobe. Out of many innovations that contributed to the advance of microprobe automation, we have chosen to focus on a few develop...