in this paper‎, ‎we consider the following kirchhoff-type equations‎: ‎$-‎left(a+bint_{mathbb{r}^{3}}|nabla u|^{2}right)delta u+v(x) u=lambda$ $f(x,u)+u^{5}‎, ‎quad mbox{in }mathbb{r}^{3},$ ‎$u(x)>0‎, ‎quad mbox{in }mathbb{r}^{3},$ ‎$uin h^{1}(mathbb{r}^{3})‎ ,‎$ ‎ ‎‎‎where $a,b>0$ are constants and $lambda$ is a positive parameter‎. ‎the aim of this paper is to study the existence of positive ...

The quad/triangular subdivision, whose control net and refined meshes consist of both quads and triangles, provides better visual quality of subdivision surfaces. While some theoretical results such as polynomial reproduction and smoothness analysis of quad/triangle schemes have been obtained in the literature, some issues such as the basis functions at quad/triangle vertices and design of inte...

In a Eurocrypt 2006 article entitled “QUAD: A Practical Stream Cipher with Provable Security,” Berbain, Gilbert, and Patarin introduced QUAD, a parametrized family of stream ciphers. The article stated that “the security of the novel stream cipher is provably reducible to the intractability of the MQ problem”; this reduction deduces the infeasibility of attacks on QUAD from the hypothesized inf...

We have benchmarked dual-processor quad-core AMD Opteron 2350 and 2356, dual-processor quad-core Intel Xeon E5345, single processor quad-core Intel Xeon X5472, dual-processor dual-core AMD Opteron 2214, dual-processor single-core Intel Xeon EM64T and single-processor single-core Intel Xeon EM64T systems using a CMSSW event simulation and reconstruction application. The results are presented in ...

Recently the study and construction of quad/triangle subdivision schemes have attracted attention. The quad/triangle subdivision starts with a control net consisting of both quads and triangles and produces finer and finer meshes with quads and triangles. The use of the quad/triangle structure for surface design is motivated by the fact that in CAD modelling, the designers often want to model c...

Unless an all quadrilateral (quad) finite element mesher is of a high quality, the mesh it produces can contain misshapen quads. This paper will describe “CleanUp”, written to improve an all quad mesh. CleanUp looks at improving node connectivity, boundary and flange patterns, quad shape, and to some extent, quad size. CleanUp is currently used in conjunction with the Paver algorithm developed ...

Most of optical gravitational lenses recently discovered in the Sloan Digital Sky Survey Quasar Lens Search (SQLS) have two-images rather than fourimages, in marked contrast to radio lenses for which the fraction of four-image lenses (quad fraction) is quite high. We revisit the quad fraction among optical lenses by taking the selection function of the SQLS into account. We find that the curren...

We study the problem of optimizing the face elements of a quad mesh surface, that is, resampling a given quad mesh to make it possess, as much as possible, face elements of some desired aspect ratio and size. Unlike previous quad mesh optimization/improvement methods based on local operations on a small group of elements, we adopt a global approach that does not introduce extra singularities an...