Capacitance of dielectric coated metallic cylinder and truncated cone are evaluated using the method of moments based on pulse function and point matching. The analysis is based on boundary condition for the potential on the conductor surface and normal component of displacement density at the dielectric-free space interface. The total free charge on the conductor surface is found from the inve...

The spin structure of the nucleon is studied in a light-cone description of the nucleon where the Fock expansion is truncated to consider only valence quarks. Transverse momentum dependent parton distributions and transverse-spin densities, defined through the generalized parton distributions in the impact parameter space, are investigated as new tools to reveal the spin-spin and spin-orbit cor...

We analyse the representation of positive polynomials in terms Sums Squares. provide a quantitative version Putinar’s Positivstellensatz over compact basic semialgebraic set S, with new polynomial bound on degree positivity certificates. This involves Łojasiewicz exponent associated to description S. show that if gradients active constraints are linearly independent S (Constraint Qualification ...

In this paper we are going to get the non tangential convergence, in an appropriated parabolic “gaussian cone”, of the Ornstein-Uhlenbeck semigroup in providing two proofs of this fact. One is a direct proof by using the truncated non tangential maximal function associated. The second one is obtained by using a general statement. This second proof also allows us to get a similar result for the ...

This study was performed to investigate the iterative reconstruction of a segment of a long object using cone-beam projections acquired with a practical-sized detector. This reconstruction problem is commonly called the cone-beam long object problem. The cone-beam focal-point trajectories studied were either helical or helical with planar arcs. We assume that the long object is confined in a ta...

1 Introduction A C-arm system, such as the one shown in Figure 1, may be used to acquire X-ray cone-beam projections of a patient's three-dimensional (3D) region of interest (ROI) while the X-ray source moves along some trajectory around the ROI. Then, a 3D image of the X-ray attenuation coefficient within the ROI may be reconstructed from the acquired cone-beam projections. In fact, C-arm syst...