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.     

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.     

朝鲜崖柏生境及高生长规律分析

采用标准地调查法测定朝鲜崖柏的土壤特征、林下植被和高生长规律.结果表明:朝鲜崖柏生长于土层较薄且呈弱酸性的山地暗棕壤,不同标准地林下植被差异明显;不同标准地朝鲜崖柏树高的年生长量均呈逐年下降趋势.     

Polycaprolactone Grafting of Cellulose Nanocrystals in Ionic Liquid[BMIM]CI

A polycaprolactone-grafted cellulose nanocrystal(PCL-g-CN) was prepared in ionic liquid and characterized by Fourier transform infrared spectrum(FT-IR),X-ray diffraction(XRD),and transmission electron microscopy(TEM).A peak assigned to the carbonyl group appears at 1 730 cm~(-1) in the FT-IR of PCL-g-CN,which confirms that the grafting reaction is successfully completed.The morphologies of PCL-g-CNs still maintain rod-like structure according to the TEM images.XRD results show that the crystal type of the PCL-g-CNs changed from cellulose Ⅰ to cellulose Ⅱ.The reasons for crystal transition of CNs turn out to be combined effects of anion and cation in ionic liquid with CNs.     

沟道地貌自动提取技术下的贺家川镇沟道整治研究

选取陕北黄土高原地区沟壑地貌典型的神木县贺家川镇作为研究区域,从沟道地貌的空间形态特征和沟道整治的坡度组合思想着手,以DEM地貌信息自动提取为技术支撑,绘制出沟道地貌特征区域分布图和沟道整治潜力区域分布图,定量化掌握研究区沟道地貌的空间分布和面积情况,并针对不同地貌类型进行沟道整治模式探讨。     

重熔过共晶Fe-C-B合金初生Fe2B的凝固遗传及消除

通过重熔和施加脉冲电流,研究了过共晶Fe-C-B合金凝固组织中初生Fe2B的遗传性和消除方法.当不施加电脉冲时,重熔难以有效消除过共晶Fe-C-B合金初生Fe2B的凝固遗传性.重熔温度较低时施加电脉冲影响凝固组织中初生Fe2B的空间分布但不改变其长杆状形态.提高重熔温度并施加电脉冲能消除凝固组织遗传的影响,使Fe2B由长杆状转变为颗粒状,并明显减少Fe2B的析出.     

基于局部紧耦合结构的模块性优化社区检测方法

利用局部紧耦合结构提升社区检测的模块性优化质量.首先,定义了4类边缘紧耦合结构,并提出了一种具有线性复杂度的边缘紧耦合结构挖掘算法.其次,分别选择k-clique,k-clan,k-plex结构作为核心紧耦合结构,并以长结构优先和短结构优先2种策略将边缘与核心紧耦合结构合并.然后,将合并后的局部紧耦合结构融入模块性优化过程,提出了一种NFN算法.该算法将每个局部紧耦合结构初始化为独立社区,不断凝聚模块性增量最大的2个社区,直至找到预定义数量的社区.6个真实数据集上针对外部指标和内部指标的实验结果均表明,相比于传统的FN算法,NFN算法能发现更高质量的社区.在参数设置方面,长结构优先策略优于短结构优先策略,且采用k-clique结构作为核心紧耦合结构优于采用其他结构.因此,长结构优先策略结合k-clique成为NFN算法的最佳参数组合.     

沪深300股指期货与现货的波动关系研究

随着高频数据获取的便利性,采用高频数据研究金融市场的波动越来越普遍。沪深300股指期货市场的迅速发展使得股指期货与现货市场的波动关系研究成为热点。采用MEM模型,对股指期货与现货市场的连续成分(连续样本路径方差)之间和跳跃成分(离散跳跃方差)之间的关系进行研究。结果表明,现货跳跃成分对期货跳跃成分的溢出效应大于期货跳跃成分对现货跳跃成分的溢出效应;现货连续成分对期货连续成分的溢出效应大于期货连续成分对现货连续成分的溢出效应。现货与期货之间的波动溢出效应主要体现在二者的连续成分上。     

做好求职这道选择题不容易

每当到了求职的黄金季节,看着应届毕业生在学校窜进窜出,脸上写满焦虑,不禁窃喜自己毕业时求职之易,又疑惑当下研究生求职真的难干上青天吗?