A three-parameter cubic equation of state has been proposed for predicting PVT of pure refrigerantssuch as R236ea, R236fa, R245fa, R245ca, R218, R227ea, and R717, from freezing point up to critical pointtemperature and pressures up 650 atm. We explore the theory of the equation of state from the view pointof Ihm–Song–Mason (ISM) equation of state, which has been derived on the basis of statisti...

In this study using Equation of State/ Helmholtz excess energy function,  EOS/AE, two new local composition-Equation-of State mixing rules, LCEOS1 and LCEOS2 were developed in which the energy interaction parameters were expressed in terms of attractive and repulsive parameters of the cubic equation of state. The EOS/AE models are applied for equilibrium calculation of nat...

In this paper we use equation solving for translating internal tests derived for a component embedded within a composite system into external tests defined over the external alphabets of the system. The composite system is represented as two communicating finite state machines (FSMs), an embedded component FSM, and a context FSM that models the remaining part of the system and which is assumed ...

Matrix spectral factorization is traditionally described as finding spectral factors having a fixed analytic pole configuration. The classification of spectral factors then involves studying the solutions of a certain algebraic Riccati equation which parametrizes their zero structure. The pole structure of the spectral factors can be also parametrized in terms of solutions of another Riccati eq...

This is an addendum to [1]. In this report, we initially present the derivation of the equilibrium strategies from Isaac’s conditions. Then we derive the final values of the adjoint variables on the UP. Once we have the final values of the adjoint variables, we solve the adjoint equation backward in time to construct a value function in the state-space. From those value functions, we derive the...

We present the simple and direct proof of the determinantal formula for the scalar product of Bethe eigenstate with an arbitrary dual state. We briefly review the direct calculation of the general scalar product with the help of the factorizing operator and the construction of the factorizing operator itself. We also comment on the previous determination of the scalar product of Bethe eigenstat...

The behavior of the two-particle Green's function in QED is analyzed in the limit when one of the particles becomes infinitely massive. It is found that the dependences of the Green's function on the relative times of the ingoing and outgoing particles factorize and that the bound state spectrum is the same as that of the Dirac equation with the static potential created by the heavy particle. T...