On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra

Some techniques using linear algebra was introduced by Faugère in F4 to speed up the reduction process during Gr?bner basis computations.These techniques can also be used in fast implementations of F5 and some other signature-based Gr?bner basis algorithms.When these techniques are applied,a very important step is constructing matrices from critical pairs and existing polynomials by the Symbolic Preprocessing function(given in F4).Since multiplications of monomials and polynomials are involved in the Symbolic Preprocessing function,this step can be very costly when the number of involved polynomials/monomials is huge.In this paper,multiplications of monomials and polynomials for a Boolean polynomial ring are investigated and a specific method of implementing the Symbolic Preprocessing function over Boolean polynomial rings is reported.Many examples have been tested by using this method,and the experimental data shows that the new method is very efficient.     

基于MATLAB矩阵运算的大整数乘法设计与实现

大整数运算在信息安全、数学验证、基因工程等领域有着广泛的应用,设计有效的方案提高运算效率成为学者关注的热点。大整数乘法是大整数运算中的核心运算,对如何提高大整数乘法运算效率进行了分析总结,并利用MATLAB矩阵运算结合格子乘法等算法进行了设计与实现。实验表明通过MATLAB矩阵运算进行大整数乘法运算能有效的提高运算效率。     

Advance selling in the presence of product diffusion effect

Product diffusion refers to the phenomenon that the later demand is dependent on the early sales. To investigate how a firm’s advance selling strategy is affected by the effect of product diffusion, we consider a monopolist seller who sells a fashionable product in a market that comprises of myopic and strategic consumers over two periods (i.e., the advance selling season and the regular selling season). For a linear product diffusion effect we find that, when the effect of product diffusion is positive, the seller may set an extremely high advance selling price to induce the strategic consumers to purchase in the regular selling season, which is counter-intuitive. Moreover, the optimal procurement quantity for the seller may increase in the negative effect of product diffusion and decrease in the amount of strategic consumers. When we extend our model to consider a concave quadratic product diffusion effect, however, the optimal procurement quantity is concave in the amount of strategic consumers. Numerical studies are further presented to discuss the managerial insights.     

Isogeometric Analysis-Based Topological Optimization for Heterogeneous Parametric Porous Structures

Porous structures widely exist in nature and artifacts, which can be exploited to reduce structural weight and material usage or improve damage tolerance and energy absorption. In this study,the authors develop an approach to design optimized porous structures with Triply Periodic Minimal Surfaces(TPMSs) in the framework of isogeometric analysis(IGA)-based topological optimization.In the developed method, by controlling the density distribution, the designed porous structures can achieve the opt...     

单亲遗传算法在物流合乘优化中的应用

本文运用单亲遗传算法解决物流合乘的路径优化问题。通过在染色体上基因换位、移位、逆转等基因重组操作进行个体繁衍,经过若干代的繁衍迭代,从所有的上下车点中找出一条最优的、费用最少的路径。实验结果表明,该算法在提高合乘成功率的同时,还有效地降低了车辆运行时的总成本。     

PP/ABS合金的制备及不同阻燃剂对其性能的影响

选用过氧化二异丙苯(DCP)作为交联剂,三烯丙基异氰脲酸酯(TAIC)作为助交联剂,在密炼机里熔融共混制备PP/ABS合金.对制得的产物进行红外光谱、扫描电镜测试.结果表明最佳的添加量为DCP 0.2%(质量分数),TAIC4%(质量分数);在制得的PP/ABS合金的基础上,先单独添加阻燃剂N,N-四溴邻苯二甲酰亚胺(BT-93W),然后进行BT-93W和阻燃增效剂2,3-二甲基-2,3-二苯基丁烷(DMDPB)复合添加,对制得的两种复合材料进行力学性能、极限氧指数、垂直燃烧实验测试.结果表明:阻燃协效剂DMDPB复合BT-93W使用时,在不影响阻燃性能的情况下,能大幅度减少BT-93W的用量,减少其对材料力学和加工性能的影响.     

农村中小学教师队伍建设之三维分析

农村中小学教师素质整体偏低掣肘着我国农村教育的长足发展。文章从提高教师待遇、改善教师生活条件,创新与完善农村教师补充机制,开展多样化农村教师培训等三个维度分析国家及地方政府在提高农村中小学教师整体素质时采取的积极举措,同时予以案例说明,以期为尚在探索当地农村教师队伍建设的地区提供借鉴。     

水稻光敏色素A的克隆及其在光形态建成中的作用

克隆了OsPHYA基因，分析光暗诱导下该基因的表达、极低辐照度反应（VLFR）条件下萌发率测定、VLFR和高辐照度反应（HIR）条件下胚芽鞘伸长以及白化苗转绿过程中叶绿素含量测定等实验. 结果表明，OsPHYA基因在黑暗条件下根、茎和叶中的积累水平高于光照处理；OsPHYA在VLFR下能促进水稻种子萌发；而在VLFR和HIR反应中，OsPHYA抑制水稻胚芽鞘的伸长.对OsphyA突变体和野生型的主要农艺性状进行了比较分析，发现2种基因型仅在每株穗数方面有一定差异，说明光敏色素A对水稻农艺性状的影响不明显.