Despite the recent advances in handwriting recognition, handwritten twodimensional (2D) languages are still a challenge. Electrical schemas, chemical equations and mathematical expressions are examples of such 2D languages. In this case, the recognition problem is particularly difficult due to the two dimensional layout of the language. The main goal of our work is to study the application of t...

We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on twodimensional torus. The admits a special family of elliptic invariant quasiperiodic tori called finite gap solutions. These are inherited from integrable 1D model (cubic NLS circle) by considering solutions that depend only one variable. study long-time stability such for 2D and show that, under certain assumptions over ...

The alternating iterative algorithm proposed by Kozlov et al. [An iterative method for solving the Cauchy problem for elliptic equations. USSR Comput Math Math Phys 1991;31:45–52] for obtaining approximate solutions to the Cauchy problem in twodimensional anisotropic elasticity is analysed and numerically implemented using the boundary element method (BEM). The illposedness of this inverse boun...

The Hamiltonian describing fermion pair production from an arbitrarily time-varying electric field in two dimensions is studied using a group-theoretic approach. We show that this Hamiltonian can be encompassed by two, commuting SU(2) algebras, and that the twodimensional problem can therefore be reduced to two one-dimensional problems. We compare the group structure for the two-dimensional pro...

A correspondence between the problem of twodimensional digital least-metric (DLM) tting and data detection in serially concatenated systems in digital communication theory is described. Nearly optimal detection algorithms based on recent advances in iterative detection/decoding are applied to the DLM problem for two applications in digital image compression. The rst application is least squares...

We develop geometrical algorithms for conflict detection in Internet packet filter sets with arbitrary ranges and based on the best-rule-matches principle. Data structures originally devised for solving Klee’s measure problem are examined for their usability in this context. We then show how to solve the one-dimensional problem in O (n log n) time, how to solve the two-dimensional problem in O ...

We propose a convex formulation of the correspondence problem between two images with respect to an energy function measuring data consistency and spatial regularity. To this end, we formulate the general correspondence problem as the search for a minimal twodimensional surface in R. We then use tools from geometric measure theory and introduce 2-vector fields as a representation of two-dimensi...

In this paper, we have reported the fabrication of two-dimensional photonic crystals, using a direct writing method in azo polymers. Periodic structures have been fabricated using the interference patterns of two coherent laser beams. The frequency response of the initial one-dimensional structure shows an attenuation of 19.3dB at 1554nm. The twodimensional structure shows 8.3dB and 11.3dB of a...

have been previously reported (27). We have found that many of the immunogenic viral and spontaneous transformants have a number of characteristic alterations in cell membrane com ponents as described by Strand and August (25). In contrast, a malignant spontaneous transformant does not have these changes and appears to be very similar to the normal cells. In addition, all of the transformants s...