BRILL－NOETHER MATRIX FOR RANK TWO VECTOR BUNDLES

Lei X be an arbitrary smooth irreducible complex projective curve, E (?) X a rank two vector bundle generated by its sections. The author first represents E as a triple {D1,D2,f}, where D1 , D2 are two effective divisors with d = deg(D1) + deg(D2), and f ∈ H0(X, [D1] |D2) is a collection of polynomials. E is the extension of [D2] by [D1] which is determined by f. By using f and the Brill-Noether matrix of D1 + D2, the author constructs a 2g X d matrix WE whose zero space gives Im{H0(X,[D1]) (?) H0(X, [D1] |D1)}(?)Im{H0(X, E) (?) H0(X,[D2]) (?) H0(X,[D2] |D2)}. From this and H0(X,E) = H0(X, [D1]) (?) Im{H0(X, E) (?) H0(X, [D2])}, it is got in particular that dimH0(X, E) = deg(E) - rank(WE) + 2.     

原油掺炼及其应用

石油掺炼作为石油精馏的一部分，对整个石油精馏具有重要意义。最佳掺炼比可通过实验、软件模拟等方法得到。通过对最佳掺炼比的实验及软件的分析发现国内外研究石油掺炼的模拟软件操作原理和步骤基本相同，利用各模拟软件掺炼后所给油品物性的可换算性，可用不同软件分别对掺炼和下游工序进行模拟。     

图书馆在构建和谐社会中的作用

从文化教育、信息支持和休闲娱乐三方面探讨了图书馆在构建和谐社会过程中的作用。     

Triterpenoid Constituents of Huperzia miyoshiana

Thirteen triterpenoids, including three new ones, miyoshianois A (1), B (2) and C (3), were isolated from Huperzia miyoshiana. The structures of these new compounds were established as 3-O-dihydroferuloyltohogenol (1), 16-oxo-3β,21β-dihydrox-y-serrat-14-en-24-ferulate (2) and 16-oxo-3a, 21β-dihydroxy-serrat-14-en-24-ferulate (3), respectively, on the basis of their spectroscopic analysis.     

用VB实现特定数列的编程方法

对数学中特定类数列的处理可以转化成多元一次方程的求解.设计出新的技巧和方法用计算机辅助手段加以VB编程实现.     

基于水杨醛的手性Salen-Mn(Ⅲ)配合物与DNA相互作用研究

以水扬醛为基本原料,合成了2种具有手性的Salen-Mn配合物,通过圆二色(CD)光谱、吸收光谱、粘度和凝胶电泳等方法研究了2种配合物与DNA的作用.结果显示:这2种配合物不以插入模式与DNA结合,但显示出化学核酸酶性质,在H2O2存在下,能够断裂DNA,将pBR 322 DNA由formⅠ转化为formⅡ.图6,参12.     

《红豺》的生态伦理学解读

生态伦理学是在生态文化的学术背景下兴起的一门学科.文章试图从生态伦理学的学科角度来解读土家族作家李传锋的动物小说力作<红豺>,探讨和挖掘<红豺>中"尊重物种的生命,呼唤人与自然和谐相处"的生态伦理追求.     

光致折射效应中空间电荷场建立过程的研究

本文推导了包含自衍射及非线性吸收影响、用以描述空间电荷场建立过程的微分方程组,阐明了周期性的空间电荷场与光强干涉条纹之间的相位差在建立过程中所起的作用,并推导了描述条纹倾斜和弯曲的微分方程。通过数值计算找到了硅酸铋(BSO)晶体中能量转移的规律,讨论了材料特性对过程快慢的影响,提出了用CW激光来探讨瞬态过程快慢的可能性。     

一种非刚性医学图像点匹配方法

提出了一种非刚性点匹配的算法并把其运用于医学图像配准．该算法采用信号滤波的方法来获得点集间的匹配信息，并运用松弛标记法将各点邻域关系对模糊的匹配信息进行迭代获得明确的匹配关系．在此基础上，利用高斯径向基函数来描述点模式间的弹性形变，在基本的迭代框架下实现问题的求解．实验结果显示在形变程度为5％、出格点比率50％和噪声标准差为5％的情况下该算法的匹配误差能控制在0．13以下，表明了该算法的鲁棒性和有效性，较好地解决了医学非刚性形变的点匹配问题．     

Optimal Investment and Dividend Strategy in the Discrete Sparre Andersen Risk Model

In the discrete-time Sparre Andersen risk model with investments and dividend payments, the company controls the dividend payments and the proportions of venture investments in order to maximize the cumulative expected discounted dividends prior to ruin. The paper gets the algorithm of the optimal dividend strategy by analyzing a Hamilton-Jacobi-Bellman equation and transforming the value function. Furthermore, the existence of the optimal solution of the transformation function is proved by using compression mapping and fixed point principle. In order to make the calculation easier, this paper also proposes an innovative random simulation method for the optimal strategy, and proves that the simulation result is the consistent estimate of the real value. Finally, the random simulation method in the Matlab is used for numerical analysis in an example, which shows the innovative simulation method is a very good and helpful method for making dividend payment and investment decisions.