13C and 77Se NMR of some organometallic derivatives with Ti,Zr and Hf

¹³C and ⁷⁷Se NMR was carried out on dicyclopentadienyl derivatives of Ti, Zr and Hf with selenium bonded directly to the metal. Although ¹³C NMR is not sensitive to different substitution, ⁷⁷Se NMR is valuable and reflects the influence of the different organic substituents and the nature of the metals bonded to the selenium atom.     

Generalized information theory for hints

This paper develops a new uncertainty measure for the theory of hints that complies with the established semantics of statistical information theory and further satisfies all classical requirements for such a measure imposed in the literature. The proposed functional decomposes into conversant uncertainty measures and therefore discloses a new interpretation of the latters as well. By abstracting to equivalence classes of hints we transport the new measure to mass functions in Dempster-Shafer theory and analyse its relationship with the aggregate uncertainty, which currently is the only known functional for the Dempster-Shafer theory of evidence that satisfies the same set of properties. Moreover, the perspective of hints reveals that the standard independence notion in Dempster-Shafer theory called non-interactivity corresponds to an amalgamation of probabilistic independence and qualitative independence between frames of discernment. All results in this paper are developed for arbitrary families of compatible frames generalizing the very specialized multi-variate systems that are usually studied in information theory.     

Adaptive finite element for semi-linear convection–diffusion problems

In this article a strategy of adaptive finite element for semi-linear problems, based on minimizing a residual-type estimator, is reported. We get an a posteriori error estimate which is asymptotically exact when the mesh size h tends to zero. By considering a model problem, the quality of this estimator is checked. It is numerically shown that without constraint on the mesh size h, the efficiency of the a posteriori error estimate can fail dramatically. This phenomenon is analysed and an algorithm which equidistributes the local estimators under the constraint h ⩽ h _max is proposed. This algorithm allows to improve the computed solution for semi-linear convection–diffusion problems, and can be used for stabilizing the Lagrange finite element method for linear convection–diffusion problems. This revised version was published online in June 2006 with corrections to the Cover Date.     

An alternative method for the measurement of mineral sulphide in wastewater

A simple and rapid procedure for sulphide measurement in crude oil refinery wastewater has been developed. This method is based on the knowledge of the UV response of sulphur compounds and the mathematical deconvolution of the sample spectrum using reference spectra (specific compounds or aggregate spectra). The detection limit of the method is 0.5 mg l(-1) for a quartz cell pathlength of 10 mm. The range is up to 15 mg l(-1). The method has been validated for crude oil refinery wastewater. Compared to conventional methods, the UV determination is quicker and easier to run.