CONVERGENCE ANALYSIS AND MRALLEL IMPLEMENTION FOR THE DIRECTEDGRAPH -ALGORITHM

1IntroductionAssulliingX=(xl.T?'....:ltnItR",iff(X):Rn~Rcanbeformedasfollows:whereOdenotesabinaryopertion(suchas ,x,tnax,minetc.),wecallf(X)aspearablefun.ti.n[1].L.Cooperstated'thatmostoffunctionsmaybetransformedtoseparableformsbyincreasingassistantvariablesandconstraints[2].InPracticalapplications,multistageproduction-inventoryproblems,equipmentreplacementproblems,resouceallocationproblemsandsomeschedulingproblemsetc.,canallbeformulatedasthefollowingforms[3].wherefi,hi(15jSn):R~R.Appara…     

具有p-Laplace算子的一类高阶奇异边值问题解的存在性

本文研究下面问题的正解其中Φp(s)=|s|p-2s,p>1．f在点x(i)=0,i=0,．．．,n-2可能是奇异的．证明建立在Leray-Schauder拓扑度和Vitali收敛定理的基础上．     

Fabrication and magnetic properties of ordered Fe60Pb40 nanowire arrays electrodeposited in AAO templates

Ordered ferromagnetic-nonmagnetic heterogeneous Fe₆₀Pb₄₀ nanowire arrays were successfully fabricated by alternating current (AC) electrodeposition into nanoporous alumina templates. Transmission electron microscopy (TEM) image and selected-area diffraction (SAED) pattern analysis showed that the Fe₆₀Pb₄₀ nanowires are polycrystalline with an average diameter of 22 nm and lengths up to several micrometers. X-ray diffraction (XRD) observations indicated that α-Fe and fcc Pb phase coexist and do not form metastable alloy phase. The as-deposited samples were annealed at 200, 300, 400 and 500 ^°C, respectively. Magnetic measurements showed that nanowires have high magnetic anisotropy with their easy axis parallel to the nanowire arrays, and the coercivity of the samples increased with the annealing temperature up to 400 ^°C and reached a maximum (2650 Oe). The change of magnetic properties associated with the microstructure was discussed.     

矩阵奇异值分解理论在中文文本分类中的应用

用改进的截断与转换的矩阵奇异值分解算法,设计实现了基于字频特征的中文文本分类器.理论分析与实验结果表明,采用的方法提高了数值计算精度,降低了文本集特征空间的维数,简化了文本分类算法的时间复杂度,提高了文本分类准确率.     

带p-Laplacian算子的奇异脉冲微分方程正解的存在性

运用不动点指数理论,我们研究一类带p-Laplacian算子的奇异脉冲微分方程两点边值问题正解的存在性.     

十八烷基超支化分子的结构表征与破乳性能

以甲醇为溶剂,用十八胺、丙烯酸甲酯和乙二胺为原料,通过迈克尔加成反应和酰胺化缩合反应,制备了1.0 G超支化分子;通过红外光谱、核磁共振手段对合成产品的结构进行了表征,且考察了十八烷基超支化分子对O/W型原油模拟乳液的破乳性能,并与传统的线性破乳剂SP-169进行了对比.结果表明:在温度为50℃、添加量为20 mg/L、破乳时间为120 min的条件下,其脱水率达到了76.2%,脱出水中的含油量为41.9 mg/L;而破乳剂SP-169在相同的条件下的脱水率为61.5%,脱出水中的含油量为52.4 mg/L.     

带p-Laplacian算子的四点边值问题拟对称正解的存在性

利用范数形式的锥拉伸与压缩不动点定理,研究了一类p-Laplacian方程四点边值问题(φp(u′(t)))′(t)+λf(t,u(t))=0,t∈(0,1),u(0)-βu′(ξ)=0,u(ξ)-δu′(η)=u(1)+δu′(1+ξ-η),其中φp(s)=sp-2·s,p>1.获得了其拟对称正解的存在性定理.     

二步法合成低分子量双酚A环氧

对二步法合成低分子量双酚A环氧的反应历程进行了分析,指出了降低环氧氯丙烷与双酚A克分子比的途径和方法。     

X射线形貌法观察空间电荷缀饰的α—LiIO3单晶的缺陷

实验观察到:α-LiIO₃单晶在c向静电场作用下,与c轴平行的观察面上X射线衍射形貌图有明显的变化。去掉电场,形貌图又复原。此种变化和复原都有个弛豫过程。形貌图形的变化与外电压的极性和大小有关,而基本上与辐射波长无关。静电场下,形貌图上显现的是空间电荷缀饰的晶体的宏观缺陷。即加静电场后,空间电荷在缺陷周围富集,增大了缺陷处的晶格畸变,使原来观察不到的缺陷显示了出来。 关键词：     

The determination of an equivalent elastic modulus for bodies with cracks by boundary element method

The equivalent elastic modulus of cracked bodies with orderly distributed cracks was computed with the boundary element method. A practical self-consistent scheme has been proposed in consideration of the mutual interaction effects of the cracks. The influence of friction coefficients and orientation of cracks has been investigated. Some computational examples have been given, and the results show that the proposed method is adequate and the scheme is efficient.This project is supported by the National Natural Science Foundation of China.