We obtain characterizations of densities on the real line and provide solutions to stochastic equations using the Gibbs sampler. Particular stochastic equations considered are of the type X =d B(X + C ...

A forthcoming article in The Quarterly Review of Biology provides the basis for an argument against using the Gibbs free energy equation to accurately determine the thermodynamics of microbial growth.

WITHIN recent years considerable doubt has been cast upon the validity of the Gibbs adsorption isotherm as applied to aqueous solutions of the paraffin–chain salts (soaps and soap–like molecules) 1,2.