The present article deals with the study of propagation of plane waves in isotropic generalized thermoelastic diffusion with voids under initial stress. It is found that, for two dimensional model of isotropic generalized thermoelastic diffusion with voids under initial stress, there exists four coupled waves namely, P wave, Mass Diffusion (MD) wave, thermal (T) wave and Volume Fraction (VF) wa...

The main result in the paper is a construction of a simple (in fact, just a union of two squares) set T in the plane with the following property. For every > 0 there is a family F of an odd number of translates of T such that the area of those points in the plane that belong to an odd number of sets in F is smaller than .

We use Lax equations to define a scattering problem on an infinite elbow shaped line of the (x, t) plane. The evolution of scattering coefficients when the elbow is translated in the plane shows how convenient scannings may reconstruct the solution V (x, t) of the nonlinear equation associated to the Lax pair. It also helps us understanding why this can work only if strong consistency condition...

We consider Voronoi diagrams deened on the oriented projective plane T 2. In this geometry, the closest and furthest site diagrams are antipodal. We give a simple on-line incremental algorithm for constructing the additively weighted diagram. This diagram, which may be disconnected in Euclidean plane, is always connected in T 2 and has exactly 3n ? 6 edges and 2n ? 4 vertices, where n is the nu...

the aim of this study was to investigate the reproducibility of natural head position (nhp) at different times of the day and to compare the reproducibility of the initial photographs with 6-month repeat photographs.the participants in this prospective study were seventy 14 to 50-year-old individuals. each participant was photographed with a digital camera twice, at three different times of the...

We show that every non-bipartite quadrangulation of the projective plane contains an odd wheel as a t-minor and is thus t-imperfect.

A b s t r a c t . Interpolation of 3D segments obtained through a trinocular stereo process is achieved by using a 2D Delannay triangulation on the image plane of one of the vision system cameras. The resulting two-dimensional triangulation is backprojected into the 3D space, generating a surface description in terms of triangular faces. The use of a constrained Delaunay triangulation in the im...

A broadband rectangular waveguide to substrate integrated power divider for hybrid beam forming networks is presented. Rectangular symmetric E-plane irises are used realize a multi-section matching network. circuit and full-wave design procedure described adopted synthesize three with one, two, irises, progressively increasing the bandwidth exceeding state of art in last two cases. Three proof-...

The uniform spanning tree (UST) and the loop-erased random walk (LERW) are strongly related probabilistic processes. We consider the limits of these models on a fine grid in the plane, as the mesh goes to zero. Although the existence of scaling limits is still unproven, subsequential scaling limits can be defined in various ways, and do exist. We establish some basic a.s. properties of these su...