On the covariantization of the chiral constraints

We show that a complete covariantization of the chiral constraint in the Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino fields other-wise the covariantization is only partial and unable to remove the nonlocality in the chiral boson operator. We comment on recent works that claim to obtain covariantization through the use of Batalin-Fradkin-Tyutin method, that uses just one Wess-Zumino field.     

A semi-implicit tidal model of the North European Continental Shelf

A semi-implicit scheme for the numerical solution of the shallow water equations is proposed. An example of successful application is the simulation of the major tidal constituent (M₂) on the European Shelf. Good agreement is found both qualitatively and quantitatively. The basic outlines of the method are presented and some practical aspects of computation are discussed. Apart from accuracy, compared to explicit or to existing semi-implicit schemes, this approach has another important feature: its economy and simplicity.     

Spectrophotometric determination of carbon disulphide as the 1,2,3,4-thiatriazol-5-thiolate ion

A simple, precise and selective procedure for the spectrophotometric determination of carbon disulphide in water is described. The method is based on the quantitative formation of the 1,2,3,4-thiatriazol-5-thiolate ion from carbon disulphide and azide. The specific rate for this reaction at ionic strength 4.0 (NaN₃) and 25°C is 8.4·10^-3 mol^-1 s^-1; the kinetic parameters D3H and D3S are 16.7 kcal mol^-1 and —14 cal mol^-1deg^-1, respectively. At the analytical wavelength of 313 nm, the molar absorptivity is 7.27 ·10³ l mol^-1cm^-1. The system obeys Beer's law for 2.3–28.6 g ml^-1 of carbon disulphide. The effects of foreign ions are discussed.     

Performance parameters of a whole body counter

Techniques for the assessment of internally incorporated radionuclides are essential for monitoring potentially exposed workers to radiation as well as for the preparedness of response in the case of Radiological Emergencies. The Whole Body Counter at Instituto Tecnológico e Nuclear (ITN), Portugal, provides a direct way of measuring the activity of internally incorporated radionuclides in possibly contaminated persons. This equipment is calibrated in energy and efficiency, with a calibration source, and is able to detect and quantify several radionuclides with gamma emissions between 60 and 1900 keV. Also, the Minimum Detectable Activity values for several nuclides of interest were determined, since these values are an indication of the sensitivity of the detection system. Finally, in order to assure reliable measurements, a quality assurance routine has been implemented, consisting of routinely monitoring several parameters of chosen radionuclides with gamma emission energies lying in the energy range of interest, and also for the background. The equipment is now fully operational and a set of routine measurements for the monitoring of exposed personnel, working in different areas of activity, is currently being prepared.     

Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving <Emphasis Type="Italic">k</Emphasis>-Modulus of Smoothness

We establish necessary and sufficient conditions for embeddings of Bessel potential spaces H ^σ X(IR ⁿ ) with order of smoothness σ?∈?(0, n), modelled upon rearrangement invariant Banach function spaces X(IR ⁿ ), into generalized Hölder spaces (involving k-modulus of smoothness). We apply our results to the case when X(IR ⁿ ) is the Lorentz-Karamata space \(L_{p,q;b}({{\rm I\kern-.17em R}}^n)\). In particular, we are able to characterize optimal embeddings of Bessel potential spaces \(H^{\sigma}L_{p,q;b}({{\rm I\kern-.17em R}}^n)\) into generalized Hölder spaces. Applications cover both superlimiting and limiting cases. We also show that our results yield new and sharp embeddings of Sobolev-Orlicz spaces W ^k?+?1 L ^n/k(logL) ^α (IR ⁿ ) and W ^k L ^n/k(logL) ^α (IR ⁿ ) into generalized Hölder spaces.