High temperature superconducting (HTS) surface resonators have been used as a low loss RF receiver resonator for improving magnetic resonance imaging image quality. However, the application of HTS surface resonators is significantly limited by their filling factor. To maximize the filling factor, it is desirable to have the RF resonator wrapped around the sample so that more nuclear magnetic di...

This paper presents a numerical investigation on the plastic forming of doubly curved surfaces aluminum foam sandwich panel (AFSP). A mesoscopic 3D Voronoi model that can describe structure closed-cell relatively realistically was established, and series simulations using with core were conducted two typical including spherical saddle-shaped AFSPs to analyze deformation behaviors defects in det...

Background: Saddle nose deformities mostly result from trauma. Most reports of saddle nose correction after trauma relate to isolated fractures, but in this article the experience of the authors is presented in relation to bone grafting for the correction of the saddle nose in multiple facial fracture patients. Objectives: The current study aimed to report the results of a protocol for choosing...

We investigate the error surface of the XOR problem for a 2-2-1 network with sigmoid transfer functions. It is proved that all stationary points with finite weights are saddle points with positive error or absolute minima with error zero. So, for finite weights no local minima occur. The proof results from a careful analysis of the Taylor series expansion around the stationary points. For some ...

We stabilize nematic droplets with handles against surface tension-driven instabilities, using a yield-stress material as outer fluid, and study the complex nematic textures and defect structures that result from the competition between topological constraints and the elasticity of the nematic liquid crystal. We uncover a surprisingly persistent twisted configuration of the nematic director ins...

Wafers warp. It is important to minimize warpage in order to achieve optimal die yield and potentially prevent future device failure. Although the word warpage is widely used in the literature to represent wafer bow (convex or concave shape), in the real world wafers are often seen into warp into saddle shapes. This complicates the characterization of both the sources of and solutions to warpag...

In vector field analysis, saddle points have two different types of invariant manifolds, namely stable ones and unstable ones. The invariant manifolds represent separatrices that partition the domain of trajectories into invariant regions of different dynamics. In this work, we analyze the basins of attraction of two different stable nodes by reconstructing the separatrices of a saddle point. T...