回头练习 难题不难

由于我的数学成绩在班级里不算特别优秀,所以今年暑期我请了一位数学老师帮我指点、辅导.老师除告诉我一般的解题方法技巧外,还特别告诉我平时做题时,若碰到正在做的题与以前做过的题相似,则把这几道相似的题放在一块加以比较研究;还可多做些"回头练习"即用后面章节里所学的知识去解决前面     

具有衰减测量和随机时滞的离散非线性复杂网络的保概率集员滤波

研究一类离散非线性复杂网络的保概率集员滤波问题.考虑网络节点受状态随机时滞、衰减测量等影响,为了更贴合实际,采用两类相互独立的随机变量分别描述状态时滞和测量衰减特征.引入Bernoulli随机变量将随机时滞刻画为随机发生时滞,引入在某区间上服从已知概率分布的随机变量刻画衰减测量.文章设计一个分布式集员滤波器,给出滤波误差系统所需满足的充分条件以保证滤波误差被限制在已知椭球集内的概率不小于已给定的概率值,且该充分条件由一个递推线性矩阵不等式表示;建立在矩阵迹最小意义下的凸优化问题以最小化每个时刻所获得的概率椭球集,并设计一个保概率集员滤波器增益矩阵的求解算法.最后,通过一个数值算例验证所设计的滤波设计方案的有效性.     

一阶导数溶出伏安法测定抗坏血酸

利用抗坏血酸可定量还原Fe(Ⅲ)-邻二氮菲(phen)为Fe(Ⅱ)-phen,建立了在玻碳电极上进行抗坏血酸的一阶导数阴极溶出伏安测定方法。在pH为4.5的HOAc-NaOAc缓冲体系中,抗坏血酸的浓度在5.0×10-6~2.0×10-4mol.L-1范围内与一阶导数溶出伏安峰电流值的增加呈线性关系,相关系数为0.998。该方法应用于测定水果和蔬菜中的抗坏血酸,回收率在98%~104%之间,测得结果与光度法的测定结果一致。     

人工神经网络对VOCs的自动识别

利用人工神经网络(ANN)对严重混叠的傅里叶变换红外光谱图进行了定性和定量解析。通过大量模拟数据训练神经网络后,引用了新的评价标准——逼近度来选择最优网络模型。利用此优化网络对两类光谱图进行了解析,考察了网络的泛化能力。结果表明：该网络不仅能够对两组分同时存在时的样本进行准确解析,而且对于未知单组分光谱图,也能够进行准确鉴别和定量分析。可见, 该研究为人工神经网络在单组分和多组分未知物的定性和定量分析方面提供了一种新思路。     

Vector Solitons and Soliton Collisions in Two-Component Bose-Einstein Condensates

With realistic parameters, both analytical and computational studies demonstrate the feasibility of forming bright-bright vector solitons in a self-repulsive two-component Bose-Einstein condensate with attractive intercomponent interaction. Moreover, the stability of such solitons is confirmed by direct numerical simulations, by a Bogoliubov spectrum analysis, and by examining the collisions between two vector solitons. Our results are of considerable experimental interest.     

Nitrogen Dioxide Sensing Properties and Mechanism of Copper Phthalocyanine Film

Copper phthalocyanine film, a p-type organic semiconductor, is synthesized by vacuum sublimation and its surface morphology is characterized by SEM. A silicon-based copper phthalocyanine film gas sensor for NO2 detection is fabricated by MEMS technology. The results show that the resistance and sensitivity of copper phthalocyanine film decrease obviously as the NO2 concentration increases from Oppm to lOOppm. However, the sensitivity nearly keeps a constant of O. 158 between 30 ppm and 70 ppm. The best working temperature of the gas sensor is 90℃ for NO2 gas concentrations of lOppm, 20ppm and 30ppm, which is much lower than that of general metal oxide gas sensor.     

无机矿化剂辅助水热合成高长径比的α-Fe2O3多孔纳米线

本文以K₂SO₄为矿化剂,在100 ℃低温水热条件下,制备出大量形貌均一、高分散的直径约40 nm、长度为2~3 μm的α-FeOOH纳米线。该纳米线在300 ℃煅烧2 h后,得到一维形貌保持良好且表面具有多孔结构、长径比可达20的α-Fe₂O₃纳米线。通过XRD、FTIR、TG-DSC、HRTEM、SAED以及N₂物理吸附技术对产物的形貌和结构进行了表征。研究发现,无机盐对一维纳米线形貌的控制至关重要,还详细讨论了K₂SO₄在α-FeOOH纳米线的成核和生长过程中所起的作用。