An n-dimensional (convex) polytope is said to have few vertices if their number does not exceed n + 3. Similarly, a simplicial n-sphere with few vertices would not contain more than n + 4 of them. We want to show that all such spheres a...

A simple and effective method is described for preparing freeze-thaw density gradients which is free of the problems of uneven solute distribution. It consists of blending aqueous freeze-thaw gradients with hypertonic diluent. The routi...

An improved low diffusion E-CUSP (LDE) scheme is presented. The E-CUSP scheme can capture crisp shock profile and exact contact surface. Several numerical cases are presented to demonstrate the accuracy and robustness of the new scheme....

We construct a topology on the union of the double arrow space (Cantor set version) and the integers which is a hereditarily Lindelöf hereditarily separable 0-dimensional compact Hausdorff space but not the continuous image of a closed...

Reduction of the δ,ε-unsaturated aldehydes produced by tandem [2,3]-Wittig-anionic oxy-Cope rearrangement followed by stereoselective electrophilic cyclisation and reductive removal of the electrophile leads to single diastereoisomers...

Thin sections of Ureaplasma urealyticum were examined by electron microscopy. Most cells were spherical or ovoid, 0.4–0.8 μm in diameter. Utilising previously described monoclonal antibodies and protein A-gold, three major antigens w...

Necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for two stable complex matrices are derived. These conditions are applied to the cases when a common weak solution to the Lyapunov equat...

In a recent paper [6], van Mill and Mogilski prove that a proper hereditary shape equivalence preserves property C, if its domain is σ-compact. In this note, the same result is established without the hypothesis of σ-compactness. An ...

The relative band intensities observed in Raman spectra excited by polarised laser sources are altered by the degree of depolarisation that the incident light undergoes in non-transparent samples. A quantitative treatment of this phenom...

The doublet structure of the 1s-exciton of simple cubic thallous chloride is quantitatively explained as due to coulombic and exchange interaction, which leads to intra- and intervalley scattering between K=0 excitons Air Max 90 Og form...