The Kolmogorov complexity function of an infinite word ξ maps a natural number to the complexity K(ξ n) of the n-length prefix of ξ. We investigate the maximally achievable complexity function if ξ is taken from a constructively describable set of infinite words. Here we are interested in linear upper bounds where the slope is the Hausdorff dimension of the set. As sets we consider Π1-definable...

Abstract A new equation of state is proposed for a solution gas at infinite dilution, based on considering the interaction between and solvent microscopic level. It used to describe properties an infinitely dilute aqueous argon in wide range temperatures pressures, including supercritical region water. shown that resulting capable predicting inert with high accuracy, limited set data moderate t...

The Hildebrand solubility parameters have been calculated for eight ionic liquids. Retention data from the inverse gas chromatography measurements of the activity coefficients at infinite dilution were used for the calculation. From the solubility parameters, the enthalpies of vaporization of ionic liquids were estimated. Results are compared with solubility parameters estimated by different me...