We discuss how to obtain the superpotential of the baryons and mesons for SU(N) gauge theories with N flavour matter fields from matrix integral. We apply the mean-field approximation for the matrix integral. Assuming the planar limit of the self-consistency equation, we show that the result almost agrees with the field theoretical result.

This paper presents a means of segmenting planar regions from two views of a scene using point correspondences. The initial selection of groups of coplanar points is performed on the basis of conservation of two five point protective invariants (groups for which this invariant is conserved are assumed to be coplanar). The correspondences for four of the five points are used to define a projecti...

Recently we investigated the occurrence of static periodic stripes in a hybrid aligned nematic cell. Assuming that the tilt anchoring was stronger at the planar wall than at the homeotropic wall, we have found the critical thickness of the cell for the transition from planar to periodic alignment as a function of the surface energy in the presence of a magnetic field. Here we study, for the sam...

The mainstream approach to estimate epipolar geometry from two views requires matching the projections of at least 4 non-coplanar points in the scene, assuming a full projective camera model. Our work deviates from this in three respects: affine camera, planar scene and active contour tracking instead of point matching. Using results in Projective Geometry, we prove that the affine epipolar dir...

the sangbast-shandiz fault zone, with a length of about 57 km, a width of moderately 2 km, and a nw-se direction, is located about 15 km in the west of mashhad city. that is one of the major faults in the binalud mountains. geomorphic evidences illustrate that the sangbast-shandiz fault zone has dextral strike- slip offsets with thrust activity. in this article, we investigated geomorphic featu...

[1] We study how enforcing self-consistency in the statistical properties of the preshear and postshear stress on a fault can be used to constrain fault constitutive behavior beyond that required to produce a desired spatial and temporal evolution of slip in a single event. We explore features of rupture dynamics that (1) lead to slip heterogeneity in earthquake ruptures and (2) maintain these ...