The rate at which energy decays in a damped String

The energy in a string subject to positive viscous damping is known to decay exponentially in time. Under the assumption that the damping is of bounded variation, we identify the best rate of decay with the supremum of the real part of the spectrum of the infinitesimal generator of the underlying semigroup. We analyze the spectrum of this nonselfadjoint operator in some detail. Our bounds on its real eigenvalues and asymptotic form of its large eigenvalues translate into criteria for over/underdamping and a proof that the decay rate achieves its (negative) minimum over those dampings whose total variation does not exceed a prescribed value.     

Oxygen diffusion in poly(dimethyl siloxane) using fluorescence quenching. II. Filled samples

The method of fluorescence quenching has been used to measure the transport properties of oxygen in poly(dimethyl siloxane) (PDMS) filled with small weight fractions of fumed silica. The experimental results show that the diffusion coefficient of oxygen and the pre-exponential term in the Arrhenius relationship are reduced, but the activation energy is not affected. In the pressure and temperature ranges used in these experiments, the diffusion coefficient was found to be independent of both the oxygen and fluorophor concentrations. A discussion concerning the effect of fillers on the pre-exponential term is presented.     

A Test of Multivariate Independence Based on a Single Factor Model

A test of the independence of two sets of variables is developed to have high power against a special family of dependence. In this each set of variables has the structure of a single factor model and the dependence is solely via the correlation γ between the underlying latent variables. This is a model with only one nonzero canonical correlation. It is shown that a test based on the maximum likelihood estimate of γ is appreciably more powerful than that based on r₁, the largest sample canonical correlation. If, however, the model is used, not just as a family of alternatives but as the basis for interpretation, and if substantial cross-correlation is present then the procedure is essentially equivalent to the use of r₁.     

Untersuchung von Fischkonserven und Frischhaltungsmitteln

Ohne Zusammenfassung     

Destillationen

Ohne Zusammenfassung     

Seifen, Waschmittel

Ohne Zusammenfassung