An Optimal Multisecret Threshold Scheme Construction

A multisecret threshold scheme is a system which protects a number of secret keys among a group of n participants. There is a secret s_K associated with every subset K of k participants such that any t participants in K can reconstruct the secret s_K, but a subset of w participants cannot get any information about a secret they are not associated with. This paper gives a construction for the parameters t = 2, k = 3 and for any n and w that is optimal in the sense that participants hold the minimal amount of information. Communicated by: P. Wild     

Dynamic construction of statistical models in managerial DSS

The fields of operations research (OR) and artificial intelligence (AI) provide complementary methods that may be combined into managerial decision support systems (DSS). However, the management domain is substantially different from domains in which prior expert systems have been developed. Consequently, successful application of OR/AI techniques in managerial DSS requires careful analysis and additional development. Ongoing research concerning design and implementation of managerial DSS is discussed. A prototype system capable of constructing linear statistical models of direct and indirect relationships from a knowledge base of relationships is described and evaluated.     

二级轻气炮超高速弹丸发射技术的研究

 本文研究了提高二级轻气炮弹丸速度的发射技术途径。通过数值计算对各种装填参量的影响进行了详细讨论。认为减小弹丸质量、活塞质量以及注气压力，可使二级轻气炮在较少的装药量条件下提供较高的弹丸速度。目前已经做到在5 kg装药时，使30 g的弹丸达到7.2 km/s速度；60 g弹丸达到5.7 km/s速度；26 g弹丸达到7.4 km/s速度。装填3.5 kg药量时，使10.3 g弹丸达到了8.1 km/s速度。     

关于Steiner问题的一个注记——连接五点之最小网络的一种寻优方案

本文讨论如何寻找连接平面上五个给定点的最小网络这一问题．通过发展越民义证明Pollack在1978年所给出的一个关于寻找连接平面上四个给定点的最小网络的重要结论的方法,我们给出了一个采用简单几何作图方法快速求解该问题的方案．     

大学物理实验课程建设的研究与实践

结合课程建设的实践,阐述了吉林大学大学物理实验分层次教学的课程体系,“层次化、自主化、研究化”的教学理念,教学团队的建设思路.构建本科生公共物理创新实践平台的实施措施及所取得的成效,介绍了网络教学与管理平台的构架及课程未来的建设目标.     

A Connectedness Theorem for Products of Weighted Projective Spaces

We prove a connectedness result for products of weighted projective spaces.     

信息与计算科学专业建设的探索与实践

培养社会适用型人才是各高校信息与计算科学专业建设的目标.石家庄经济学院在专业建设方面突出夯实专业知识、拓展实训技能,实现双证结合.在大类招生专业分流基础上,根据学生的兴趣、特长设计不同的实训环节和实践项目.     

基于合作的工程项目风险模糊评价新方法

工程项目的目标风险包括工期风险、费用风险、质量风险、安全风险和环境风险,研究已经表明,同一风险因素会同时对不同的目标产生影响.另外,工程项目管理各方在进行目标管理过程中的合作性也会对目标的最终完成产生影响.因此,将同一风险因素对不同目标的影响以不同的权重表示,并将项目管理各方的合作性作为目标风险的影响因素引入到风险评价中,利用模糊推理的方法建立了基于合作的工程项目风险评价模型,提出了工程项目风险分析的一种新方法.     

建设用地的扩张对我国非农经济增长贡献研究

土地要素对经济增长的贡献,由于其供给缺乏弹性而常被定量研究所忽略。文章通过分析土地要素对经济增长的作用,提出在定量研究土地要素的贡献时,应使用代表土地承载空间大小的建筑面积数据。文章构建了相对建筑面积估计模型,并使用资本和劳动力数据实际估算了我国建设用地相对建筑的面积,并利用超越对数生产函数形式实际估算了我国建设用地对非农经济增长的贡献。研究发现:我国28个省级单位建设用地面积扩大在2003-2008年对非农经济增长平均贡献率为2.88%,而代表土地利用强度的相对容积率的增长对经济增长的贡献率为8.79%。建设用地对非农经济增长的总贡献为11.81%。     

Conformally Invariant Operators,Differential Forms,Cohomology and a Generalisation of Q-Curvature

On conformal manifolds of even dimension n ≥ 4 we construct a family of new conformally invariant differential complexes, each containing one coboundary operator of order greater than 1. Each bundle in each of these complexes appears either in the de Rham complex or in its dual (which is a different complex in the non-orientable case). Each of the new complexes is elliptic in case the conformal structure has Riemannian signature. We also construct gauge companion operators which (for differential forms of order k ≤ n/2) complete the exterior derivative to a conformally invariant and (in the case of Riemannian signature) elliptically coercive system. These (operator, gauge) pairs are used to define finite dimensional conformally stable form subspaces which are are candidates for spaces of conformal harmonics. This generalizes the n/2-form and 0-form cases, in which the harmonics are given by conformally invariant systems. These constructions are based on a family of operators on closed forms which generalize in a natural way Branson's Q-curvature. We give a universal construction of these new operators and show that they yield new conformally invariant global pairings between differential form bundles. Finally we give a geometric construction of a family of conformally invariant differential operators between density-valued differential form bundles and develop their properties (including their ellipticity type in the case of definite conformal signature). The construction is based on the ambient metric of Fefferman and Graham, and its relationship to the tractor bundles for the Cartan normal conformal connection. For each form order, our derivation yields an operator of every even order in odd dimensions, and even order operators up to order n in even dimension n. In the case of unweighted (or true) forms as domain, these operators are the natural form analogues of the critical order conformal Laplacian of Graham et al., and are key ingredients in the new differential complexes mentioned above.