Layouts for mobility management in wireless ATM networks

In this paper, we present a new model that combines quality of service and mobility aspects in wireless ATM networks. Namely, besides the hop count and load parameters of the basic ATM layouts, we introduce a new notion of distance that estimates the time needed to reconstruct the virtual channel of a wireless user when he moves through the network. Quality of service guarantee dictates that the rerouting phase must be imperceptible, that is, the maximum distance between two virtual channels must be maintained as low as possible. Therefore, a natural combinatorial problem arises in which suitable trade-offs must be determined between the different performance measures. We first show that establishing the existence of a layout with maximum hop count h, load l and distance d is NP-complete, even in the very restricted case h=2, l=1 and d=1. We then provide optimal layout constructions for basic interconnection networks, such as chains and rings.     

Positive solutions for Schrödinger–Poisson equations with a critical exponent

In this paper we establish the existence of a positive solution of the Schrödinger–Poisson equations with a critical Sobolev exponent. The methods used here are based on the concentration–compactness principle of P. L. Lions and methods of Brezis and Nirenberg.     

Multilinear Components of the Prime Subvarieties of the Variety Var(M2(F))

We describe the multilinear components of the prime subvarieties of the variety Var(M ₂(F)) generated by the matrix algebra of order 2 over a field of characteristic p>0.     

多通道Assembly-like排队系统的强逼近

借助于强逼近理论和修正系统，本文较为详细地研究了多路到达、多服务台Ａｓｓｅｍｂｌｙ－ｌｉｋｅ排队系统，得到了队长过程、离去过程、负荷和虚等待时间过程的强逼近定理。     

Prototyping bio-nanorobots using molecular dynamics simulation and virtual reality

This paper presents a molecular mechanics study using a molecular dynamics software (NAMD) coupled to virtual reality (VR) techniques for intuitive bio-nanorobotic prototyping. Using simulated bio-nano environments in VR, the operator can design and characterize through physical simulation and 3D visualization the behavior of protein-based components and structures. The main novelty of the proposed simulations is based on the characterization of stiffness performances of passive joints-based proteins (α-helix deca-alanine, repressor of primer protein and immunoglobulin protein) and active joints-based viral protein motor (VPL) in their native environment. Their use as elementary bio-nanorobotic components are also simulated and the results discussed.     

The apolar bilinear form in geometric modeling

Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed degree, already known in 19th century invariant theory. Using a generalized version of this inner product, we derive in a straightforward way some of the recent results in CAGD, like Marsden's identity, the expression for the de Boor-Fix functionals, and recursion schemes for the computation of B-patches and their derivatives.

     

Partition identities and the coin exchange problem

The number of partitions of n into parts divisible by a or b equals the number of partitions of n in which each part and each difference of two parts is expressible as a non-negative integer combination of a and b. This generalizes identities of MacMahon and Andrews. The analogous identities for three or more integers (in place of a,b) hold in certain cases.     

接入环双节点SNCP保护组网应用分析

分析了利用接入环双节点SNCP保护组网的优缺点。在设计项目中采用接入环双节点SNCP保护方式组网,以其双发选收特点,双归属上连汇聚层,避免了单节点失效、下挂业务丢失。有效地进行了风险分担、光缆断纤自动保护,从而提高了网络的可靠性、安全性。因此,利用SNCP保护是首选的可适用于各种网络拓扑结构且倒换速度快的业务保护方式。     

CA数字证书安全平台构建与研究

针对当前CA数字证书推广问题以及CA安全平台构建实施难问题,提出了CA数字证书中间件技术安全平台构建方案。该方案支持多种CA证书体系、多个品牌型号的EKEY身份认证设备;打破了传统CA安全平台实施方法,极大促进CA数字证书的推广和应用,使CA安全平台快速构建。尤其结合陕西省机动车网络交易平台项目予以实施验证,具有良好的借鉴意义。