Abstract We show that under the assumption of existence canonical inner model with one Woodin cardinal $M_1$ , there is a $\mathsf {ZFC}$ in which $\mbox {NS}_{\omega _{1}}$ $\aleph _2$ -saturated and ${\Delta }_{1}$ -definable $\omega _1$ as parameter answers question S. D. Friedman L. Wu. also starting from an arbitrary universe cardinal, saturated ladder system $\vec {C}$ full Suslin tree T ...

a modification of peng-robinson equation is described wherein in the parameter b is expressed as a linear function of temperature. the modified equation is then applied to a series of light hydrocarbons and refrigerants, and predicted values for vapor pressure, saturated vapor volume, saturated liquid volume and the heat of evaporation are compared with the corresponding experimental data. cons...

This work presents a set of three simple and explicit equations as a function of temperature, pressure, and mass fraction for calculation of the entropy of the ammonia-water mixture in saturated and super heated conditions. They are intended for use in the optimization and second law efficiency of absorption processes. The equations are constructed by the least square method for curve fitting u...