The background for this paper is a dynamic programming model with a Borel state space and compact action sets. A new simple proof of the compactness of a space of measures corresponding to randomized ...

THIS communication gives a simple deduction of Carathéodory's principle from Kelvin's principle that it is impossible to convert an amount of heat completely into work in a cyclic process without at ...

THE second law of thermodynamics has been stated in various ways. The two forms with which this communication is concerned are: (a) Kelvin's principle that it is impossible to transform an amount of ...