两类分块矩阵的群逆

当P为退化的幂等矩阵时,我们利用矩阵的秩的性质、分块矩阵的初等变换,以及群逆存在的充分必要条件,讨论了形如M=P P＋PP＊（P0）和M=P P（P＋PP＊0）（其中P为方阵）的两类分块矩阵群逆的存在性.接着,利用初等变换和矩阵1逆的求法,根据矩阵群逆与矩阵3次幂的1逆的关系,最终给出上述两类分块矩阵群逆的一般表示式,并以例子加以说明     

不连续问题的无网格分域算法

提出一种无网格方法中采用分域的思想处理材料和位移不连续问题的方法。该方法将求解域沿不连续面进行分域,通过使用两种转换矩阵使子域交界面上的位移连续性得到满足;采用分块矩阵法计算转换后的刚度矩阵,所得刚度矩阵仍具有稀疏、带状性。可采用与有限元耦合的方式施加本质边界条件。编制了该算法的计算程序,通过对材料不连续悬臂梁弯曲问题的分析和单边裂纹板裂纹张开位移的计算,验证了该算法的正确性和有效性。     

痕量PBBs/PBDEsGC/MS分析法中PCB及其衍生物干扰消除方法

电子电气产品中痕量阻燃剂聚溴联苯/聚溴联苯醚(PBBs/PBDEs)的检测通常采用气相色谱/质谱(GC-MS)联用法,但该法是建立在持久性污染物多氯化苯/多氯化萘(PCBs/PCNs)基础上,因此此类物质干扰不可避免。为了解决此类问题,提出了2种解决方法:1)阴离子化学电离-气相色谱/质谱联用法(GC/MS-NICI)和电子轰击-气相色谱/质谱联用法(GC/MS-EI)联合使用;2)以YMC ODS-C18为载体,基质固相分散法(MSPD)吸附分离。结果显示,前者可以同时洞察聚溴联苯和联苯醚的分子链断裂后阴离子碎片[Br]-,[HBr2]-和分子链段碎片[M+2]+,[M+4]+,[M+6]+,[M+8]+的滞留峰,增加了对溴系阻燃剂的选择性。后者可以有效分离多种多氯化苯与聚溴联苯醚的色谱峰,这为溴系阻燃剂气相色谱/质谱联用分析法中多氯化苯及其衍生物干扰提供了新的解决方法。采用此方法对8类电子电气产品中10种聚溴联苯醚和多氯化苯进行加标回收实验及精密度分析,回收率在60%～98%,相对误差在9.5%以内,符合国际电工委员会(IEC)对溴系阻燃剂检测精度要求,说明方法具有较高的可靠性,也为我国电子电气业更好遵守...     

计算机化自适应诊断测验新的选题策略

提出了一种既能满足属性平衡又能有效处理相似属性模式的新方法——改进的极大化整体判别认知诊断模型信息量指标法(MGCDI).对无结构型的属性,讨论定长CD-CAT的选题策略.研究结果表明,使用相同选题策略选题时,先选择可达矩阵的所有列对应的项目比不使用这些项目的诊断准确率高.     

Evaluation of humic acid removal by a flat submerged membrane photoreactor

A flat submerged membrane combined with a TiO 2 /UV photocatalytic reactor (FSMPR) was employed in batch mode to remove humic acid (HA). HA removal efficiency was characterized by UV 254 absorbance, UV-vis spectra, dissolved organic carbon (DOC) concentration, specific UV absorbance (SUVA), and trihalomethane formation potential (THMFP). The FSMPR process was effective in removing more than 86% of DOC and nearly 100% of UV 254 absorbance, while the THMFPs of samples were reduced to < 19 μ g/L after 150 min of treatment. In addition, changes in transmembrane pressure (TMP) with and without UV were evaluated; TiO 2 /UV was effective at controlling membrane fouling by HA. Analysis of the molecular weight (MW) distributions and three-dimensional excitation-emission matrix (EEM) fluorescence spectra of HAs revealed that the effectiveness in membrane fouling control is a result of changes in HA molecular characteristics. The TiO 2 /UV photocatalytic reactor caused the degradation of high MW, hydrophobic humic-like molecules to low MW, hydrophilic protein-like molecules, although this fraction was not completely removed during 150 min of treatment and was less responsible for membrane fouling.     

Operational properties and matrix representations of quantum measures

Denoted by M(A), QM(A) and SQM(A) the sets of all measures, quantum measures and subadditive quantum measures on a σ-algebra A, respectively. We observe that these sets are all positive cones in the real vector space F(A) of all real-valued functions on A and prove that M(A) is a face of SQM(A). It is proved that the product of m grade-1 measures is a grade-m measure. By combining a matrix M _μ to a quantum measure μ on the power set A _n of an n-element set X, it is proved that μ ≪ ν (resp. μ ⊥ ν) if and only if M _μ ≪ M _ν (resp. M _μ M _ν =0). Also, it is shown that two nontrivial measures μ and ν are mutually absolutely continuous if and only if μ·ν∈QM(A _n ). Moreover, the matrices corresponding to quantum measures are characterized. Finally, convergence of a sequence of quantum measures on A _n is introduced and discussed; especially, the Vitali-Hahn-Saks theorem for quantum measures is proved.     

含负折射率光子晶体缺陷模的吸收特性

 为了研究含负折射率光子晶体缺陷模的吸收特性,引入复折射率的概念,并采用光学特征矩阵方法,分析了各缺陷模的峰值和带宽随消光系数以及杂质厚度的变化.分析结果表明:杂质的消光系数对各缺陷模的中心波长没有影响,随着消光系数的增加,各缺陷模峰值逐渐减小,而带宽逐渐增加,且各缺陷模峰值和带宽的增减速度不同;当消光系数不变,随着杂质层光学厚度的增加,缺陷模的峰值和带宽都随之减小.因此在设计相关光学器件时,应充分考虑杂质吸收对缺陷模特性的影响.     

多摄像头目标跟踪动态单应投影方法研究

动态单应投影变换算法利用各个摄像头之间的相对位置参数,并基于文中所给出的光轴辅助坐标变换方法,可以快速地计算出各个视角间单应变换矩阵的参数,通过该变换可以实现各视角图像间的快速投影.这种快速投影变换方法不需要通过匹配视角间图像的像素点对来计算单应矩阵参数,而是直接利用摄像头内部固定参数和外部相对位置参数快速计算视角间图...     

一类偏微分方程的有限元解法

推导了一类带复合边界条件的有限元解法,给出了一种快速计算其刚度矩阵的方法.     

空间薄壁梁完全拉格朗日格式几何刚度矩阵

根据Timoshenko梁理论和Vlasov薄壁杆件理论,通过设置单元内部节点,对弯曲转角和翘曲角采取独立插值的方法,建立了可以考虑剪切变形、弯扭耦合和二次剪应力影响的空间薄壁截面梁几何非线性有限元模型。以拉格朗日格式描述几何非线性应变推得几何刚度矩阵.算例表明所建立模型具有良好的精度,适用于空间薄壁结构的几何非线性有限元分析.