In this paper, a generalized expression for the flow field in axisymmetric extrusion process is suggested to be valid for any dies and the boundary shapes of the plastic deformation zone. The general power terms are derived and the extrusion force is calculated by applying upper bound technique for a streamlined die shape and exponential functions for shear boundaries. It is shown that assuming...

In this paper, we propose an approach to solving for an inverse problem. We try to evaluate a unique solution of an inverse problem by means of the weighted inverse matrix. We have applied our weighted inverse matrix method to searching for the electric field source and Demonstrating the three dimensional electric field distributions. As a result, we have succeeded in evaluating the unique elec...

It is well known that performance is not homogeneous across the visual field, even at isoeccentric locations. Several inhomogeneities in particular have been identified - a Horizontal-Vertical Anisotropy (HVA - better performance in the horizontal than in the vertical direction); a Vertical Asymmetry (VA - better performance in the lower than the upper visual field); and a Vertical Meridian Asy...

As an important operator in polygon cluster generalization, the displacement has two contributions. One is to resolve the proximity conflicts to guarantee the legibility constraint. Another is to act as the prior operator of other generalization operator, such as aggregation. This paper presents a field based method to deal with the displacement of polygon cluster in both aspects above. On the ...

An approximate procedure for performing nonperturbative calculations in quantum field theories is presented. The focus will be quantum non-Abelian gauge theories with the goal of understanding some of the open questions of these theories such as the confinement phenomenon and glueballs. One aspect of this nonperturbative method is the breaking down of the non-Abelian gauge group into smaller pi...

A simple way to improve the accuracy of the fragmentation methods is proposed. The formalism was applied to the elongation (ELG) method at restricted open-shell Hartree-Fock (ROHF) level of theory. The α-helix conformer of polyglycine was taken as a model system. The modified ELG method includes a simplified electrostatic field resulting from point-charge distribution of the system's environmen...

The background field approach to multi-loop calculations in gauge field theories is presented. A relation between the gauge-invariant effective action computed using this method and the effective action of the conventional functional approach is derived. Feynman rules are given and renormalization is discussed. It is shown that the renormalization programme can be carried out without any refere...