Study on the extending multi-attribute decision model of grey target

Based on the distance of interval numbers and the two-stage decision methods, this paper expands the decision model of grey target into some situation under which the decision information and target weights are the interval numbers at the same time. It also gives the optimization method of weights in the grey target. We get the optimum coordinated vector utilizing the combination assigning method, based on the local optimization of various schemes. So it can shift the weights of interval number into real number form and sequence it according to the weighted off-target distance. Finally the effectiveness and practicality of the model is proved by a real project.     

基于点评网用户数量的促销策略

构建了一个基于点评网促销的博弈模型,分析了利润和促销价格同点评网用户数量之间的关系.研究发现,通过点评网促销能获利的用户数应该满足的条件,并在此基础上,为企业基于点评网的促销实践提出了策略建议.     

有限域上由两个广义对角多项式所确定的簇中的有理点

设Fq为有限域,f_l=a_(l1)x(~d~(l)_(11))_(11)…x~(d~((l))_(1_(k1)))_(1_(k1))+a_(l2)x~(d~((l))_(21))_(21)…x~(d~((l))_(2k_2)_(2k_2))+…+a_(ln)x~(d~((l))_(n1))_(n1)…x~(d~((l))_(nk_n)_(nk_n)+c_l(l=1,2)为F_q上的一组广义对角多项式,用N_q(V)表示由f_l(l=1,2)确定的族中的F_q有理点的个数.作者利用Adolphson和Sperber的牛顿多面体理论与指数和工具,证明了ord_qN_q(V)≥max{「∑~n_(i=1)1/d_i」-2,0,其中d_i=max{d~(1)_(ij),d~(2)_(ij)|1≤j≤k_i},1≤i≤n.     

基于分圆类方法的差集偶构造

利用分圆类的方法构造了Z2q(q=ef+1为素数幂,e=2或4)上,参数为(4f+2,2f+1,2f,f,f),(8f+2,4f+1,4f,2f,2f),(8f+2,4f+1,2f,f,f),(4f+1,2f,2f,0,f)的差集偶.     

单圈图的2-距离色数

图G的2-距离染色是指正常的顶点染色,且任意距离不〉2的2个顶点着不同的颜色,研究了单圈图的2-距离染色,给出了单圈图的2-距离色数．     

改进线性同余法随机数发生器

在粒子输运Monte Carlo程序中广泛采用线性同余法随机数发生器。为了改善该发生器产生的随机数序列的统计品质,该文基于洗牌法思想设计了一种新的随机数发生器。在新算法中,以原线性同余法随机数发生器的中间整型变量为基础,通过位操作来构造实现洗牌效果所需的随机整型变量。由于位操作的计算量较少,使得新算法在计算量上不会有明显的增加。而统计检验的结果表明,该方法对随机数序列统计品质的改善是显著的。同时,该文还阐述了新算法在并行环境中的应用。     

满足n=2γ的树的特征值

研究了满足n=2γ的树的特征值,包括它的Laplacian矩阵与邻接矩阵的最大特征值,并确定了极树.     

从拓扑的观点看有限覆盖定理

从拓扑学观点出发,在理论上推导出了有限覆盖定理,在此基础上,给出加强型的有限覆盖定理.文章分成三个部分:第一部分介绍拓扑学相关方面的知识;第二部分介绍Rn上的定理与结论;最后一部分介绍通常的有限覆盖定理及加强型的有限覆盖定理.     

Aerodynamic problems of cable stayed bridges spanning over one thousand meters

The elongating of cable-stayed bridge brings a series of aerodynamic problems. First of all,geometric nonlinear effect of extreme long cable is much more significant for cable-stayed bridge spanning over one thousand meters. Lateral static wind load will generate additional displacement of long cables,which causes the decrease of supporting rigidity of the whole bridge and the change of dynamic properties. Wind load,being the controlling load in the design of cable-stayed bridge,is a critical problem and needs to be solved. Meanwhile,research on suitable system between pylon and deck indicates fixed-fixed connection system is an effective way for improvement performance of cable-stayed bridges under longitudinal wind load. In order to obtain aerodynamic parameters of cable-stayed bridge spanning over one thousand meters,identification method for flutter derivatives of full bridge aero-elastic model is developed in this paper. Furthermore,vortex induced vibration and Reynolds number effect are detailed discussed.     

（3＋1）维广义KP方程的新精确解

利用辅助函数方法得到了(3+1)维KP方程的新的精确解.利用直接对称方法得到了方程的对称推广了有关的结果.进一步利用我们的定理得到了新的精确解并推广了Mohammed Khalfallah的结果.