关于不定积分∫secxdx的几种求解方法

通过给出求不定积分∫sec xdx的5种方法,旨在帮助学生理解求函数不定积分过程中换元积分法的本质.     

一种无证书签名方案的安全性分析及改进

利用无证书密码体制的安全模型,分析一种无证书数字签名方案,发现存在安全性缺陷.针对这些安全性缺陷,对原方案进行改进.其安全性基于一个经典的困难问题——计算Diffie-Hellman问题,使得改进方案是可证安全的.     

求解拟五对角线性方程组的四参数法

 基于五对角线性方程组的追赶法,给出了拟五对角线性方程组的四参数求解方法。算法的基本思想是,将方程组的前2个未知量x1,x2和最后2个未知量xn－1,xn看作参数,这4个未知量正好对应于拟五对角方程组边角位置上的非零元素。然后通过特殊的矩阵分解将方程组解向量中的其他n－4个未知量用x1,x2,xn－1和xn 4个参数表示,从而形成标准的五对角线性方程组,可以方便地利用求解标准五对角线性方程组的追赶法进行求解。被看作参数的4个未知量可以利用原方程组中的前后两个方程及中间变量求出。最后,将已经求出的4个参数再代入分解矩阵形成的方程组中求得其余分量。鉴此,本文给出了两种不同的实现方法,其主要区别在于求解4个参数的过程不同。一种方法是将解向量的全部分量用参数线性表出,然后取出前后各2个式子组成参数方程,求出4个参数。另一种方法是将4个参数作为已知量先代入第3～n－2个方程中,整理后得到一个n－4阶的方程组,解出第3～n－2个解分量的参数表达式,再将x3,x4,xn－3,xn－2回代到前2个方程和最后2个方程中组成参数方程,求出4个参数。对于规模较大的拟五对角线性方程组而言,这两种算法的计算量几乎一样。该算法的数值稳定性分析结果表明,系数矩阵在满足严格对角占优的条件下,该算法是稳定的。数值实验结果表明,两种算法的实际计算时间与算法的理论分析相符合。     

Investigation on Mechanical Properties of CMSLDS/Acrylate Copolymeric Blending Films for Warp Sizing

Carboxymethyl starch with lower degree of substitution was blended with acrylate copolymer for revealing the relation between mechanical properties and chemical structure of blending film.Effects of carboxymethylation of starch,acrylate constituent units of acrylate copolymers,and copolymer content of the film on the properties were investigated.The mechanical properties were evaluated in terms of tensile strength,breaking elongation,abrasion resistance,and flex-fatigue resistance.Film morphology was examined with X-ray diffraction (XRD),scanning electron microscopy (SEM),and atomic force microscope (AFM).It was found that the properties depended on the degree of substitution of carboxymethyl starch,chemical structure of acrylate units,and content of acrylate copolymer.Phase-separation of the two ingredients occurred within film matrix and the separation was decreased after starch carboxymethylation.Breaking elongation and flex-fatigue resistance of the film reached maximums when acrylate copolymer content was 50%.Excessively increasing the content of acrylate copolymer reduced the film properties.     

浅谈三次方程与四次方程的解法

通过对三次方程和四次方程的解法的探究,揭示了换元法、配方法、待定系数法在解方程中的应用,为解其他整式方程提供了一些借鉴.     

根据AVO响应识别不同流体类型的方法

 根据AVO的响应分类进行储层预测是目前油气勘探中最基础有效的油气勘探方法,但在实际应用中依然存在诸多问题,成功和失败的案例很多。主要原因是影响AVO响应的因素较多,例如岩性、物性、流体性质、成岩作用、地层压力、埋深等。本文以西非海域探井实际测得的物性参数为依据,设计了多个可能的岩石物理模型,并进行正演,归纳和总结了不同流体条件下,AVO响应随埋深的变化特征。指出了浅层由含水砂岩造成的“亮点”与含油气砂岩在AVO响应特征的不同,对经典AVO分类在该地区的应用做了补充,并给出了该区AVO分类有效应用的经验深度范围。     

基于Lorenz系统的自适应数字图像加密算法

提出了一种基于Lorenz混沌系统的自适应图像加密算法.首先利用Lorenz混沌系统对原始图像进行自适应置乱加密,然后利用改进的Lorenz系统混沌序列对图像进行替换加密.实验表明该算法安全性较高,具有较强的抵御穷举攻击、统计攻击能力.     

Eu3+取代Bi1.5MgNb1.5O7陶瓷的结构与介电性能

采用固相法制备Bi1.5-xEuxMgNb1.5O7(x=0、0.1、0.2、0.3、0.4、0.5和0.6)陶瓷。采用X线衍射仪(XRD)、扫描电子显微镜(SEM)和阻抗分析仪分别对陶瓷的相结构、显微结构和介电性能进行表征。结果表明:当Eu3+取代量(x)较小(x≤0.5)时,所有组分的陶瓷样品均保持单一的焦绿石相;当x=0.6时,样品出现少量的EuNbO4杂相。随着Eu3+取代量的增加,陶瓷的介电常数逐渐减小,介电损耗先减小后增大,温度系数显著增大。当x=0.5时,1 MHz下测得的介电常数为96,介电损耗为3.8×10-4,温度系数变成-12×10-6℃-1。因此,通过适当的Eu3+取代可以获得适用于Ⅰ类多层陶瓷电容器性能优异的介质材料。     

Development of <Emphasis Type="Italic">Gossypium barbadense</Emphasis> chromosome segment substitution lines in the genetic standard line TM-1 of <Emphasis Type="Italic">Gossypium hirsutum</Emphasis>

Chromosome segment substitution lines （CSSL） consist of a battery of near-isogenic lines that have been developed and cover the entire genome of some crops. With the exception of one homozygous chromosome segment transferred from a donor parent, the remaining genome of each CSSL line is the same as the recipient parent. It is an ideal material for genome research and particularly QTL mapping. In the present study, we first developed one set of CSSL lines using G hirsutum acc. TM-1 （the genetic standard）, as the recipient parent and G barbadense cv. Hai7124 as the donor parent using molecular assistedlselection in BC5S1-3 generations. The CSSL consisted of 330 different lines, in which 1-4 different lines had the same or overlapping substituted segments. The genetic length of the substituted segments covered 5271.9 cM with an average segment distance of 10.9 cM, 1.5 times the total genetic length of Upland cotton （3514.6 cM）. The substituted segments of each line varied in length, ranging from 3.5 cM for the shortest segment to 23.2 cM in the longest segment. Our CSSL have not yet to cover the entire tetraploid cotton genome, due to the absence of some donor parent interval segments.