Uptake of Uranium on ETS-10 Microporous Titanosilicate

Two samples of the microporous titanosilicate ETS-10 synthesised by different preparation procedures were compared for their ability to take up uranium from aqueous solutions using a batch-type technique. The ETS-10 samples were synthesised using either TiO₂ or TiCl₃ as a titanium source. The uptake of uranium on the materials was compared by determining the distribution coefficient and percentage sorption as a function of contact time, uranium concentration, and sorbent concentration. It was found that the difference in the synthesis procedures of the materials had a significant influence on the uptake of uranium.     

Über das Produkt von zwei zyklischen 2-Gruppen

Ohne Zusammenfassung     

Predicting nonlinear pseudorandom number generators

Let be a prime and let and be elements of the finite field of elements. The inversive congruential generator (ICG) is a sequence of pseudorandom numbers defined by the relation . We show that if sufficiently many of the most significant bits of several consecutive values of the ICG are given, one can recover the initial value (even in the case where the coefficients and are not known). We also obtain similar results for the quadratic congruential generator (QCG), , where . This suggests that for cryptographic applications ICG and QCG should be used with great care. Our results are somewhat similar to those known for the linear congruential generator (LCG), , but they apply only to much longer bit strings. We also estimate limits of some heuristic approaches, which still remain much weaker than those known for LCG.