n个n维向量的等价性质及应用

基于"线性代数"课程的特点和在线优质资源辅助教学的推广,利用矩阵方法讨论了向量组的线性关系与行列式的值、矩阵的秩、初等变换、线性方程组的解和矩阵的特征值等问题之间的内在联系,建立了关于n个n维向量的一系列等价性质;最后,举例说明了系统掌握这些等价结论在解决一些综合性的考研试题方面的应用。     

降温过程对Au24Cu19合金团簇结构变化影响

采用基于嵌入原子法的正则系综NVT分子动力学方法在原子尺度上计算了包含24个金原子和19个铜原子的Au24Cu19双金属团簇在急冷和连续降温过程中的结构演化.根据原子平均势能、主要原子键对数目以及原子堆积结构随温度的变化表明，随着温度的降低，团簇表现为铜原子在内，金原子和少量铜原子包覆在外的构型.在温度被降低到较高温度区间时，急冷降温过程中，键对数目呈高-低振荡变化；连续冷却过程中，键对数目则呈低-高振荡变化.在温度较低的区间，直至400K，这两个冷却条件下的键对数目表现为同步变化.     

Serum pharmacochemistry combined with multiple data processing approach to screen the bioactive components and their metabolites in Mutan Cortex by ultra‐performance liquid chromatography tandem mass spectrometry

Root cortex of Paeonia suffruticosa Andrews (Paeoniaceae), known as Moutan Cortex (MC), is known to have anti‐allergic and anti‐inflammatory properties. However, the constituents absorbed into blood after oral administration of MC remain unknown. A sensitive and rapid method by ultra‐high‐pressure liquid chromatography–electrospray ionization–quadrupole‐time‐of‐flight mass spectrometry (UPLC‐ESI‐Q‐TOF‐MS) technology and the MetaboLynx^TM software combined with multiple data processing approach (Mdpa) was established to investigate the absorbed constituents in rats after oral administration of MC, providing unique high‐throughput capabilities for drug metabolism study. A hyphenated electrospray ionization and quadrupole‐time‐of‐flight analyzer was used for the determination of accurate mass of the fragment ion in negative mode, with excellent MS mass accuracy and enhanced data acquisition. This rapid automated analysis method was successfully applied for screening and identification of the constituents absorbed and metabolized studies of MC after oral administration to rats. A total of 46 peaks were obtained from MC, 41 of which were tentatively characterized. In the VIP‐plot of orthogonal partial least‐squares discriminant analysis, 23 interesting ions in serum samples were extracted, and 16 parent components and seven metabolites were detected in vivo. The integrative serum pharmacochemistry technique, UPLC‐ESI‐Q‐TOF‐MS, and Mdpa method were successfully applied for rapid discovery of multiple components from MC. Copyright © 2013 John Wiley & Sons, Ltd.     

微信电子商务应用价值分析

移动商务发展到现在,在应用层面上最广泛的就是专属APP和基于微信平台上开发的商务应用.微信平台以其应用广泛,粘合度高已成为众多商家特别是第三产业企业应用的首选.从微信商业发展入手,系统讨论微信商业价值形式,能为商业开发应用研究给出一些较为完整的理念,促进移动电子商务应用发展.     

Multifractal analysis for Cu/Ti bilayer thin films

Two bilayer thin films with different stacking sequences, Cu/Ti/Si and Ti/Cu/Si, were deposited by DC magnetron sputtering technique. X‐ray diffraction technique was used to measure the crystallization structures, and scanning electron microscopy and atomic force microscopy were used to measured surface morphology. The multifractal spectra f(α)‐α was used to characterize the surface morphology. The result of |q|_max ≤ 53 is obtained by multifractal analysis. The shape of the multifractal spectra f(α) ? α is hook‐like for Cu/Ti/Si and bell jar‐like for Ti/Cu/Si. The spectrum width Δα = α_max ? α_min and Δf(=f(α_min) ? f(α_max)) of the multifractal spectra is able to quantitatively analyze the growth and surface roughness of the Cu/Ti bilayer thin films. The surface of Ti/Cu/Si thin film is more uniform and smoother than the film of Cu/Ti/Si. Copyright © 2013 John Wiley & Sons, Ltd.     

Fitting formula for the injection volume of a gas chromatograph for radio‐xenon sampling in the lower troposphere

GC is usually used for xenon concentration and radon removal in the International Monitoring System of the Comprehensive Nuclear‐Test‐Ban Treaty. In a gas chromatograph, the injection volume is defined to calculate the column capacity. In this paper, the injection volume was investigated and a fitting formula for the injection volume was derived and discussed subsequently. As a consequence, the xenon injection volume exponentially decreased with the column temperature increased, but exponentially increased as the flow rate increased.     

生物柴油/柴油乙醇水微乳体系相行为分析

采用化学滴定方法研究了生物柴油/柴油乙醇水微乳体系的相行为;分析比较了生物柴油/柴油混合比改变对其相行为的影响。结果表明:在不添加任何乳化剂的条件下,稳态相图中存在一个各向同性的单相区,单相区内混合液为稳定、透明的生物柴油/柴油乙醇水微乳化油,表明生物柴油可作为有效的表面活性剂;单相区的面积大小与体系中各组分的含量有关。当乙醇含量及生物柴油与柴油的混合比增加时,单相区变宽;在乙醇含量一定时,形成稳定单相微乳化油的最大掺水量随体系中生物柴油的含量增加而增加。最后得到了不同乙醇含量及不同生物柴油与柴油混合比条件下形成生物柴油/柴油乙醇水微乳化油的最大掺水量。     

多窗口模式Roberts聚焦评价方法及其应用

自动对焦是图像测量和机器视觉中的重要技术。分析了自动对焦的基本原理,研究了自动对焦过程中的核心问题,提出了一种基于多区域聚焦窗口模式的改进Roberts聚焦评价函数的自动对焦方法。对图像进行滤波去噪预处理,选取多区域聚焦窗口,利用改进的Roberts聚焦评价函数进行评价,最后采用全局搜索和二分查找相结合的方法进行快速焦点定位。试验结果表明该方法兼顾了灵敏性、稳定性,可快速实现自动对焦。