n-方体的点可区别全色数的渐近性态

令Qn为n-方体,图G的点可区别全色数为χvt(G),那么limn→∞vχt(Qn)n=1 q*.这里q*=0.293815…是方程(x 1)x 1=2xx的唯一的正根.     

Secondary instabilities of linearly heated falling films

Secondary instabilities of linearly heated failing films are studied through three steps. Firstly, the analysis of the primary linear instability on Miladinova's long wave equation of the linearly heated film is performed. Secondly, the similar Landau equation is derived through weak nonlinear theory, and a two-dimensional nonlinear saturation solution of primary instability is obtained within the weak nonlinear domain. Thirdly, the secondary (three-dimensional) instability of the two-dimensional wave is studied by the Floquet theorem.Our secondary instability analysis shows that the Marangoni number has destabilization effect on the secondary instability.     

Construction of a genetic map and localization of QTLs for yield traits in tomato by SSR markers

Using an F2 population derived from the hybrid of Lycopersicon esculentum Mill. ‘XF 98-7’× Lycopersicon pimpinellifolium LA2184, a SSR genetic linkage map of tomato is constructed. The map contains 112 markers and spans 808.4 cM with an average distance of 7.22 cM between loci. Two quantitative trait loci (QTLs) for first flower node on chromosomes 5 and 11, two QTLs for number of flowers per truss on chromosomes 2 and 5, and five QTLs for fruit weight on chromosomes 1, 2, 3, 9 and 12 are identified.     

贝叶斯序贯高斯模拟方法

各种静态数据约束下的三维储层模型是指可以同时满足地震和测井数据的模型。研究了整合中等垂向分辨率地震数据的方法。引入贝叶斯定理的序贯高斯模拟方法,即贝叶斯序贯高斯模拟,用来整合中等垂向分辨率的地震数据,在给定地震频率的条件下,提高模型的分辨率。模拟结果表明,该方法能很好地整合中等垂向分辨率的地震数据,解决整合地震和测井数据存在的“体支撑”难题,生成高于地震垂向分辨率、低于或等于测井分辨率的三维储层模型。     

模糊层次分析法在地基处理方案优选中的应用

简要介绍了模糊层次分析法的基本原理和分析问题的步骤。基于模糊层次分析法的软土地基处理方案优选，结果表明选择结果与实际相符合。     

图F_m ▽S_n的边色数和邻强边色数

对图G的一个正常的k边染色法f,若 e∈E(G),e = uv,{f(uw) | uw∈E(G)}≠{f(vw) | vw∈E(G)},则称f为G 的一个k 邻强边染色法,k的最小值称为G 的邻强边色数.V(Fm Sn) = {w}∪{ui | i =1,2,…,m}∪{vij | i =1,2,…,m;j =1,2,…,n},E(Fm Sn) = {wui | i =1,2,…,m}∪{uivij | i =1,2,…,m;j =1,2,…,n}∪{uiui+1 | i =1,2,…,m-1}.　　本文得到了Fm Sn 的边色数和邻强边色数.     

关于图运算的测地数

对于图G(或有向图D)内的任意两点u和v,u-v测地线是指在u和v之间(或从u到v)的最短路.I(u;v)表示位于u-v测地线上所有点的集合,对于SV(G)(或V(D)),I(S)表示所有I(u,v)的并,这里u,v∈S.G(或D)的测地数g(G)(或g(D))是使I(S)=V(G)(或I(S)=V(D))的点集S的最小基数.G的下测地数g-(G)=min狖g(D):D是G的定向图狚,G的上测地数g+(G)=max狖g(D):D是G的定向图狚.对于两个图G和H,u∈V(G)和v∈V(H),在u和v之间加一条边,然后再收缩这条边uv所得的图,记为GuHv.本文主要研究图GuHv的测地数和上(下)测地数.     

安培环路定理的一种证明

用毕奥—萨伐尔定律和矢量分析的方法证明了安培环路定理。     

树扩图生成树数的界

连通图的生成树是指该图的极小连通生成子图．在Cayley公式的基础上，给出树扩图生成树数的上下界．     

关于联图K_(1,m)∨P_n的全染色

就星与路的联图K1,m∨Pn,可得到在m,n不同取值情况下的全色数.