In this paper, we present mainly two logical systems that clarify pragmatic aspects of the process of explanation. The first concerns a proof theory that leads to the derivation of possible initial conditions from an explanandum and a given theory. The second logic concerns the derivation of questions in view of the verification of some possible initial condition, or of one out of several possi...

The LO BK equation for unintegrated gluon density with impact parameter dependence is considered. The form of initial condition for the equation is determined, which is similar to the form of fenomenological GBW ansatz. The gluon density function and F2 function are calculated and compared with the results for the gluon density and F2 functions from the GRV parameterization for different values...

The property of the “perfect liquid” created at RHIC is probed with anisotropic flow measurements. Different initial conditions and their consequences on flow measurements are discussed. The collectivity is shown to be achieved fast and early. The thermalization is investigated with the ratio of v4/v 2 2 . Measurements from three sectors of soft physics (HBT, flow and strangeness) are shown to ...

We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation xn 1 α − βxn / γ − δxn − xn−k , n 0, 1, 2, . . . , k ∈ {1, 2, . . .}, in the two cases: i δ ≥ 0, α > 0, γ > β > 0; ii δ ≥ 0, α 0, γ, β > 0, where the coefficients α, β, γ, and δ, and the initial conditions x−k, x−k 1, . . . , x−1, x0 are real numbers. We show...

We study the dynamic response of a superfluid field to a moving edge dislocation line to which the field is minimally coupled. We use a dissipative Gross-Pitaevskii equation, and determine the initial conditions by solving the equilibrium version of the model. We consider the subsequent time evolution of the field for both glide and climb dislocation motion and analyze the results for a range o...

A series of conjectures is obtained as further investigation of the integral transformation I(α) introduced in the previous paper. A Macdonald-type difference operator D is introduced. It is conjectured that D and I(α) are commutative with each other. Studying the series for the eigenfunctions under termination conditions, it is observed that a deformed Weyl group action appears as a hidden sym...

We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t−a(u, φ(u)x)x = f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.

The Green function for Klein-Gordon-Dirac equation is obtained. The case with the dominating Klein-Gordon term is considered. There seems to be a formal analogy between our problem and a certain problem for a 4-dimensional particle moving in the external field. The explicit relations between the wave function, Green function and initial conditions are established with the help of the T -exponen...

In this paper, two geometric processing problems are considered: (1) point on a surface nearest to an external point, and (2) silhouette curve of a surface when observed from a given point. Problem (1) is solved by constructing gradient curves on the surface associated with a distance scalar field. Problem (2) appears as the intersection of surfaces (implicit case), or as tracing a plane curve ...

This paper analyzes a discrete-time algorithm to synchronize a group of agents moving back and forth on a ring. Each agent or “bead” changes direction upon encountering another bead moving in the opposite direction. Communication is sporadic: two beads are able to exchange information only when they come sufficiently close. This allows agents to update their state including their velocity and d...