every year, a considerable portion of the national budget specifies to reconstruct the properties which have been destroyed during natural disasters in iran. recognition of vulnerable sites to natural disasters can reduce the probable damages. the most important point in designing railway tracks is to join stations in the least possible time. so, the railway track is meant to cross lots of vall...

We describe the recent developments concerning the rational analogues of the Beckman-Quarles Theorem, and discuss a related result concerning isometric embeddings in Q of subsets of E. 1 – Let E denote the Euclidean d-space, and let Q denote the Euclidean rational d-space. A mapping f : E → E is called ρ-distance preserving if ‖x − y‖ = ρ implies that ‖f(x)−f(y)‖ = ρ. The Beckman Quarles Theore...

A k-edge-weighting of a graph G is a mapping w : E(G) → {1, 2, . . . , k}. An edgeweighting w induces a vertex coloring fw : V (G) → N defined by fw(v) = ∑ v∈e w(e). An edge-weighting w is vertex-coloring if fw(u) 6= fw(v) for any edge uv. The current paper studies the parameter μ(G), which is the minimum k for which G has a vertexcoloring k-edge-weighting. Exact values of μ(G) are determined f...

We study the regularity properties of inverse a bilipschitz mapping f belonging to W m X loc $W^m X_{\mathrm{loc}}$ , where is an arbitrary Banach function space. Namely, we prove that − 1 $f^{-1}$ also in . Furthermore, paper shows class mappings closed with respect composition and multiplication.

The mapping function w = k log(z + a) is a widely accepted approximation to the topographic structure of primate V1 foveal and parafoveal regions. A better model, at the cost of an additional parameter, captures the full field topographic map in terms of the dipole map function w = k log[(z + a)/(z + b)]. However, neither model describes topographic shear since they are both explicitly complex-...

detection of lymph nodes (lns) involvement by various pathological processes has great therapeutic and prognostic implications. the purpose of this study was to evaluate the usefulness and accuracy of triplex sonography (gray scale, color mapping and spectral doppler) in differentiating benign from malignant cervical lns. we used triplex sonography to evaluate 120 lns in 50 patients. the gray s...

The mapping function w = k log(z + a) is a widely accepted approximation to the topographic structure of primate V1 foveal and parafoveal regions. A better model, at the cost of an additional parameter, captures the full field topographic map in terms of the dipole map function w = k log[(z + a)/(z + b)]. However, neither model describes topographic shear since they are both explicitly complex-...