On algorithmically checking whether a Hilbert series comes from a complete intersection

It is not possible to determine from the Hilbert series whether a commutative -graded Noetherian algebra is a complete intersection. Nevertheless, the Hilbert series of a complete intersection satisfies very stringent conditions and we define a concept CI-type for formal power series, that embodies some of these necessary properties. This definition becomes interesting mainly for algebras that are not standard i.e. not generated in degree 1. For the class of formal power series that occur as the Hilbert series of -graded Noetherian Cohen–Macaulay algebras, the main result is a criterion for a series to be of CI-type, that is formulated in terms of properties of truncated power series. Hence it can be used as the basis for an algorithm that provides in a finite number of steps either a rational function expression of the formal power series, or the information that the truncated power series is not of CI-type. Also sample computations using this algorithm on some non-standard graded invariant algebras are described.     

牛顿环干涉装置的若干变异结构

综合牛顿环干涉装置的几种变异结构 ,分析了各干涉结构的干涉条件 ,并给出了它们的干涉条纹分布律的统一的数学表达     

Planning of WDM Ring Networks

The rapid introduction of wavelength division multiplexing (WDM) technology to cope with the increased bandwidth requirements of transmission networks has intensified the need for recovery mechanisms at the optical layer. A first step towards survivable optical networking will be seen through the introduction of optical rings. This paper presents different types of optical rings (dedicated and shared protection WDM rings) and the planning issues associated with these WDM rings. In particular, we give mathematical models as well as solution methods for the ring loading and wavelength assignment problem. We compare the wavelength requirement of dedicated and shared protection rings under scenarios with different demand patterns. We also discuss the influence of the WDM equipment cost, and present a mathematical model for the optimization of hybrid networks with both dedicated and shared protection rings.     

活塞环表面处理技术的研究现状及发展趋势

活塞环性能的优劣直接影响到内燃机的整体性能,随着现代内燃机的发展,对活塞环提出了越来越高的要求.阐述了现代活塞环表面处理技术如PVD与CVD镀膜、热喷涂钼涂层、等离子喷涂陶瓷涂层的技术特点,并与电镀铬、表面氮化进行对比,对它们的优缺点进行了分析.展望了现代活塞环表面处理技术的发展趋势.     

金属带式无级变速器钢环组的配合与张应力分布关系的研究

钢环组是金属带的关键组件之一,它的载荷分布关系到金属带的承载能力和使用寿命。本文分析了钢环组配合方式与其张应力分布的关系,提出了采用过盈配合组配钢环能使各层钢环均匀承载的方法,并得到了过盈量的求解算式。     

环Fq+uFq+…+uk-1Fq上一类重根常循环码

记R=Fq+uFq++uk-1Fq,G=R[x]/,且是R中可逆元。定义了从Gn到Rtn的新的Gray映射,证明了J是G上长为n的线性的x-常循环码当且仅当(J)是R上长为tn的线性的-常循环码。使用有限环理论,获得了环R上长为pe的所有的(u-1)-常循环码的结构及其码字个数。特别地,获得了环F2m+uF上长为2e的(u-1)-常循环码的对偶码的结构及其码字个数。推广了环Z2a根负循环码的若干结果。     

一种理想格上的身份类广播加密方案

针对现有格基广播加密方案效率较低,密文扩展率较高的缺陷,首先利用改进的理想格上陷门产生算法和盆景树模型,生成广播用户的私钥。在此基础上,为保证消息的合法性,加入一次签名算法,基于环上错误学习问题(R-LWE)提出了一个可证明安全的身份类广播加密方案。最后,在标准模型下证明方案是选择密文攻击下语义不可区分安全,且安全性可以高效地归约到判定性R-LWE困难性假设。分析表明,该方案具有加解密速度快、密文扩展率低且能够有效地实现用户端的动态扩展功能的优势。     

旋转叶片电加热防冰系统设计与应用

在开展结冰试验时，结冰风洞风扇叶片前缘有结冰风险，影响风洞安全运行。针对大型旋转叶片结冰问题，提出了旋转叶片电加热防冰系统设计方法，研制了大型结冰风洞旋转叶片电加热防冰系统。首先，研制了内置电加热单元和温度反馈的防冰叶片。针对叶片复杂的工作环境，提出一种新的旋转叶片电加热防冰功率计算方法，通过精确测量和方案优化，设计了基于特殊环境的分半式、大尺寸、高线速度、碳刷自动移开/压紧的导电滑环。最后，采用变结构分级温度闭环和试验参数连锁防冰控制策略解决了旋转叶片结冰问题。该系统已应用于大型结冰风洞，运行中加热电流和叶片温度反馈信号传输连续，所有旋转叶片前缘快速加热且温度分布均匀，防冰效果好。     

Flood Avoidance Mechanisms for Bridged Resilient Packet Rings

Resilient Packet Ring (RPR), or the Standard IEEE 802.17, is a new IP-based network technology proposed to replace SONET/SDH in metropolitan area networks. RPR is well-adapted to handle multimedia traffc and is effcient. However, when RPR networks are bridged, inter-ring packets, or packets with the destination on a remote RPR network other than on the source network, are flooded on the source and the destination networks, and also on the path of the intermediate networks between the source and the destination networks. This decreases the available bandwidth for other traffc in those networks and is ineffcient. As a result, we propose two solutions based on topology discovery, global topology discovery (GTD) and enhanced topology discovery (ETD), that prevent the flooding of inter-ring packets. GTD enables the bridges to determine the next-hop bridge for each destination. ETD enables the source node to determine a default ringlet, so that packets reach the next-hop bridge without flooding the source network. The proposed solutions were analyzed and the overhead bandwidth and stabilization time were shown to be bounded. Simulations performed showed that the proposed solutions successfully avoid flooding and achieve optimal effciency in the intermediate and destination networks, and in the source networks with one bridge.