The answer to this question lies in knowing the moral standing of Phase IV studies and whether we ought to conduct them. And to know this, in part, we need to compare them to studies in Phases I, II, and III and then determine where Phase IV studies stand in relation to Phase I–III studies scientifically and commercially.

We present a hyperbolic-elliptic model problem related to the equations of two-phase fluid flow. The model problem is solved numerically, and properties of its solution are presented. The model equation is wellposed when linearized around a constant state, but there is a strong focusing effect, and very large solutions exists at certain times. We prove that the model problem has a smooth soluti...

A system of soft ellipsoid molecules confined between two planar walls is studied using classical density-functional theory. Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different Ansätze and the intermolecular interaction is incorporated using two different direct correlation functions (DCF's). The first is a numerical DCF obtained from si...

The paper discusses State Space Blind Source Recovery (BSR) for minimum phase and non-minimum phase mixtures of gaussian and non-gaussian distributions. The State Space Natural Gradient approach results in compact iterative update laws for BSR. Two separate state space algorithms for minimum phase and non-minimum phase mixing environments are presented. The advantages and disadvantages of both ...

In a recent Letter, Cottingham, Kalafatis and Vinh Mau [1] studied, within the Lee-Wick model, the formation of quark stars in the cosmological quark-hadron phase transition. They conclude that the formation of quark stars with the solar baryon number N ⊙ ∼ 10 57 requires a high degree of supercooling which can be achieved with a reasonable choice of the parameters of the Lee-Wick model. We sho...

Identification of mixed independent subspaces is thought to suffer from combinatorial explosion of two kinds: the minimization of mutual information between the estimated subspaces and the search for the optimal number and dimensions of the subspaces. Here we show that independent auto-regressive process analysis, under certain conditions, can avoid this problem using a two-phase estimation pro...

The densities of Yang-Lee zeros for the Ising ferromagnet on the L x L square lattice are evaluated from the exact grand partition functions (L=3 approximately 16). The properties of the density of Yang-Lee zeros are discussed as a function of temperature T and system size L. The three different classes of phase transitions for the Ising ferromagnet--first-order phase transition, second-order p...

Spot Rate Models 3 Equivalent Martingale Measure (Reference Only) . . . . . . . . . . . . . . . . . . 3 Spot Rate Models: Ideas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 The Bond Price Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Inversion of the Yield Curve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Affine Term Structure Mo...

The migration of a rigid sphere in a two-dimensional unidirectional shear flow of a second-order fluid was considered by Ho & Leal (1976). It was found that the sphere would migrate in the direction of decreasing absolute shear rate. The present paper extends the previous results to a general quadratic flow, and also considers the case of a spherical drop.