Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In particular, the unfolded material can act as an impedance matched hyperlens, and as the loss in the lens goes to zero finite collections of polarizable line dipol...

Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In particular the unfolded material can act as an impedance matched hyperlens, and as the loss in the lens goes to zero finite collections of polarizable line dipole...

Equivalent lesions of Monteggia type IV injury have not appeared so far in the literature. Two Monteggia type IV equivalent lesions, which included a fracture of the radial head associated with midshaft fractures of the radius and ulna in a 3- and in a 12-year-old girl, are reported. The lesion presented in this report could be considered as a missing piece in the puzzle of Monteggia and equiva...

Motivated by an application to database linear querying, such as private information-retrieval protocols, we suggest a fundamental property of codes– the generalized covering radius. The covering-radius hierarchy code characterizes trade-off between storage amount, latency, and access complexity, in systems. Several equivalent definitions are provided, showing this combinatorial, geometric, alg...

Gaifman’s normal form theorem showed that every first order sentence of quantifier rank n is equivalent to a Boolean combination of “scattered local sentences”, where the local neighborhoods have radius at most 7n−1. This bound was improved by Lifsches and Shelah to 3 · 4n−1. We use Ehrenfeucht-Fräıssé type games with a “shrinking horizon” to get a spectrum of normal form theorems of the Gaifma...

The best degree-based upper bound for the spectral radius is due to Liu and Weng. This paper begins by demonstrating that a (forgotten) upper bound for the spectral radius dating from 1983 is equivalent to their much more recent bound. This bound is then used to compare lower bounds for the clique number. A series of line graph degree-based upper bounds for the Q-index is then proposed and comp...

INTRODUCTION Simultaneous Monteggia injuries of the elbow and ipsilateral distal radius and ulna fractures are very rare. CASE PRESENTATION A unique case of a type I Monteggia fracture equivalent with ipsilateral fracture of the distal radius and ulna (Salter-Harris type II) in a child is reported. We describe the management of this unique fracture and discuss the possible mechanism of injury...

We numerically calculate the equivalent mode-field radius of the fundamental mode in a photonic crystal fiber (PCF) and show that this is a function of the V parameter only and not the relative hole size. This dependence is similar to what is found for graded-index standard fibers, and we furthermore show that the relation for the PCF can be excellently approximated with the same general mathem...

Multi-objective optimization design of gear shaft, first determine the variables, shaft structure size mainly includes length and radius size, diameter as variable, equivalent force is an important indicator static performance, optimized with maximum goal.